257552525 has 12 divisors (see below), whose sum is σ = 322530324. Its totient is φ = 204000000.

The previous prime is 257552501. The next prime is 257552579. The reversal of 257552525 is 525255752.

It can be written as a sum of positive squares in 6 ways, for example, as 4519876 + 253032649 = 2126^2 + 15907^2 .

It is not a de Polignac number, because 257552525 - 2²⁴ = 240775309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48476 + ... + 53525.

It is an arithmetic number, because the mean of its divisors is an integer number (26877527).

Almost surely, 2^257552525 is an apocalyptic number.

257552525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257552525 is a deficient number, since it is larger than the sum of its proper divisors (64977799).

257552525 is a wasteful number, since it uses less digits than its factorization.

257552525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102112 (or 102107 counting only the distinct ones).

The product of its digits is 175000, while the sum is 38.

The square root of 257552525 is about 16048.4430709025. The cubic root of 257552525 is about 636.2414179478.

The spelling of 257552525 in words is "two hundred fifty-seven million, five hundred fifty-two thousand, five hundred twenty-five".