257611403257 has 16 divisors (see below), whose sum is σ = 279567066240. Its totient is φ = 235968417792.

The previous prime is 257611403197. The next prime is 257611403263. The reversal of 257611403257 is 752304116752.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 257611403257 - 2²³ = 257603014649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257611403297) 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, 732094 + ... + 1025272.

It is an arithmetic number, because the mean of its divisors is an integer number (17472941640).

Almost surely, 2^257611403257 is an apocalyptic number.

It is an amenable number.

257611403257 is a deficient number, since it is larger than the sum of its proper divisors (21955662983).

257611403257 is a wasteful number, since it uses less digits than its factorization.

257611403257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293712.

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 257611403257 in words is "two hundred fifty-seven billion, six hundred eleven million, four hundred three thousand, two hundred fifty-seven".