Search a number
-
+
257907061 is a prime number
BaseRepresentation
bin11110101111101…
…01100101110101
3122222022000222101
433113311211311
51012011011221
641331502101
76251113426
oct1727654565
9588260871
10257907061
11122644435
1272457931
1341580739
142637764d
1517996d91
hexf5f5975

257907061 has 2 divisors, whose sum is σ = 257907062. Its totient is φ = 257907060.

The previous prime is 257907043. The next prime is 257907071. The reversal of 257907061 is 160709752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253000836 + 4906225 = 15906^2 + 2215^2 .

It is a cyclic number.

It is not a de Polignac number, because 257907061 - 219 = 257382773 is a prime.

It is a super-2 number, since 2×2579070612 = 133032104227315442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257907061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257907071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128953530 + 128953531.

It is an arithmetic number, because the mean of its divisors is an integer number (128953531).

Almost surely, 2257907061 is an apocalyptic number.

It is an amenable number.

257907061 is a deficient number, since it is larger than the sum of its proper divisors (1).

257907061 is an equidigital number, since it uses as much as digits as its factorization.

257907061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 257907061 is about 16059.4850789183. The cubic root of 257907061 is about 636.5332251728.

The spelling of 257907061 in words is "two hundred fifty-seven million, nine hundred seven thousand, sixty-one".