257361313 has 12 divisors (see below), whose sum is σ = 283296384. Its totient is φ = 233624600.

The previous prime is 257361301. The next prime is 257361343. The reversal of 257361313 is 313163752.

257361313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257361313 - 2²⁵ = 223806881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257361343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123720 + ... + 125782.

It is an arithmetic number, because the mean of its divisors is an integer number (23608032).

Almost surely, 2^257361313 is an apocalyptic number.

It is an amenable number.

257361313 is a deficient number, since it is larger than the sum of its proper divisors (25935071).

257361313 is a wasteful number, since it uses less digits than its factorization.

257361313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3105 counting only the distinct ones).

The product of its digits is 11340, while the sum is 31.

The square root of 257361313 is about 16042.4846267653. The cubic root of 257361313 is about 636.0839263018.

The spelling of 257361313 in words is "two hundred fifty-seven million, three hundred sixty-one thousand, three hundred thirteen".