257659956697 has 64 divisors (see below), whose sum is σ = 333689932800. Its totient is φ = 195222343680.

The previous prime is 257659956637. The next prime is 257659956709. The reversal of 257659956697 is 796659956752.

It is not a de Polignac number, because 257659956697 - 2³⁵ = 223300218329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257659956637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11056704 + ... + 11079982.

It is an arithmetic number, because the mean of its divisors is an integer number (5213905200).

Almost surely, 2^257659956697 is an apocalyptic number.

It is an amenable number.

257659956697 is a deficient number, since it is larger than the sum of its proper divisors (76029976103).

257659956697 is a wasteful number, since it uses less digits than its factorization.

257659956697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23506.

The product of its digits is 1928934000, while the sum is 76.

The spelling of 257659956697 in words is "two hundred fifty-seven billion, six hundred fifty-nine million, nine hundred fifty-six thousand, six hundred ninety-seven".