257911609957 has 16 divisors (see below), whose sum is σ = 272421550080. Its totient is φ = 243694638000.

The previous prime is 257911609937. The next prime is 257911610027. The reversal of 257911609957 is 759906119752.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257911609957 is a prime.

It is a super-2 number, since 2×257911609957² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257911609895 and 257911609904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257911609937) 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, 414232 + ... + 829102.

It is an arithmetic number, because the mean of its divisors is an integer number (17026346880).

Almost surely, 2^257911609957 is an apocalyptic number.

It is an amenable number.

257911609957 is a deficient number, since it is larger than the sum of its proper divisors (14509940123).

257911609957 is a wasteful number, since it uses less digits than its factorization.

257911609957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415224.

The product of its (nonzero) digits is 10716300, while the sum is 61.

The spelling of 257911609957 in words is "two hundred fifty-seven billion, nine hundred eleven million, six hundred nine thousand, nine hundred fifty-seven".