257525352557 has 16 divisors (see below), whose sum is σ = 293991465600. Its totient is φ = 223293364800.

The previous prime is 257525352529. The next prime is 257525352577. The reversal of 257525352557 is 755253525752.

It is not a de Polignac number, because 257525352557 - 2²⁴ = 257508575341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257525352499 and 257525352508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257525352527) 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, 1369994 + ... + 1546587.

It is an arithmetic number, because the mean of its divisors is an integer number (18374466600).

Almost surely, 2^257525352557 is an apocalyptic number.

It is an amenable number.

257525352557 is a deficient number, since it is larger than the sum of its proper divisors (36466113043).

257525352557 is a wasteful number, since it uses less digits than its factorization.

257525352557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916964.

The product of its digits is 18375000, while the sum is 53.

The spelling of 257525352557 in words is "two hundred fifty-seven billion, five hundred twenty-five million, three hundred fifty-two thousand, five hundred fifty-seven".