257525753 has 16 divisors (see below), whose sum is σ = 278446080. Its totient is φ = 237387024.

The previous prime is 257525743. The next prime is 257525759. The reversal of 257525753 is 357525752.

It is a cyclic number.

It is not a de Polignac number, because 257525753 - 2²⁴ = 240748537 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257525753.

It is not an unprimeable number, because it can be changed into a prime (257525759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312500 + ... + 313322.

It is an arithmetic number, because the mean of its divisors is an integer number (17402880).

Almost surely, 2^257525753 is an apocalyptic number.

It is an amenable number.

257525753 is a deficient number, since it is larger than the sum of its proper divisors (20920327).

257525753 is a wasteful number, since it uses less digits than its factorization.

257525753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268.

The product of its digits is 367500, while the sum is 41.

The square root of 257525753 is about 16047.6089496224. The cubic root of 257525753 is about 636.2193719005.

Subtracting 257525753 from its reverse (357525752), we obtain a palindrome (99999999).

The spelling of 257525753 in words is "two hundred fifty-seven million, five hundred twenty-five thousand, seven hundred fifty-three".