527532525 has 108 divisors (see below), whose sum is σ = 1087969428. Its totient is φ = 242058240.

The previous prime is 527532521. The next prime is 527532547. The reversal of 527532525 is 525235725.

It can be written as a sum of positive squares in 6 ways, for example, as 18714276 + 508818249 = 4326^2 + 22557^2 .

It is not a de Polignac number, because 527532525 - 2² = 527532521 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 527532525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527532521) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 5121624 + ... + 5121726.

It is an arithmetic number, because the mean of its divisors is an integer number (10073791).

Almost surely, 2^527532525 is an apocalyptic number.

It is an amenable number.

527532525 is an abundant number, since it is smaller than the sum of its proper divisors (560436903).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

527532525 is a wasteful number, since it uses less digits than its factorization.

527532525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 141 counting only the distinct ones).

The product of its digits is 105000, while the sum is 36.

The square root of 527532525 is about 22968.0762146071. The cubic root of 527532525 is about 808.0094010318.

It can be divided in two parts, 52753 and 2525, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 527532525 in words is "five hundred twenty-seven million, five hundred thirty-two thousand, five hundred twenty-five".