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531533025 = 3252292532
BaseRepresentation
bin11111101011101…
…000110011100001
31101001011200020100
4133223220303201
52042033024100
6124424333013
716112645652
oct3753506341
91331150210
10531533025
112530446a1
1212a014169
1386175aaa
1450843529
15319e6400
hex1fae8ce1

531533025 has 81 divisors (see below), whose sum is σ = 1004950219. Its totient is φ = 268544640.

The previous prime is 531532997. The next prime is 531533039. The reversal of 531533025 is 520335135.

The square root of 531533025 is 23055.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 207100881 + 324432144 = 14391^2 + 18012^2 .

It is not a de Polignac number, because 531533025 - 25 = 531532993 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 531533025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10028899 + ... + 10028951.

Almost surely, 2531533025 is an apocalyptic number.

531533025 is the 23055-th square number.

531533025 is the 11528-th centered octagonal number.

It is an amenable number.

531533025 is a deficient number, since it is larger than the sum of its proper divisors (473417194).

531533025 is a wasteful number, since it uses less digits than its factorization.

531533025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The cubic root of 531533025 is about 810.0467508453.

The spelling of 531533025 in words is "five hundred thirty-one million, five hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 29 45 53 75 87 145 159 225 261 265 435 477 725 795 841 1305 1325 1537 2175 2385 2523 2809 3975 4205 4611 6525 7569 7685 8427 11925 12615 13833 14045 21025 23055 25281 37845 38425 42135 44573 63075 69165 70225 81461 115275 126405 133719 189225 210675 222865 244383 345825 401157 407305 632025 668595 733149 1114325 1221915 2005785 2036525 2362369 3342975 3665745 6109575 7087107 10028925 11811845 18328725 21261321 35435535 59059225 106306605 177177675 531533025