257016314313 has 96 divisors (see below), whose sum is σ = 423966711168. Its totient is φ = 148654771200.

The previous prime is 257016314311. The next prime is 257016314323. The reversal of 257016314313 is 313413610752.

257016314313 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 1 + 631 + 4 + 3 + 13 = 666.

It is not a de Polignac number, because 257016314313 - 2¹ = 257016314311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257016314311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80240770 + ... + 80243972.

It is an arithmetic number, because the mean of its divisors is an integer number (4416319908).

Almost surely, 2^257016314313 is an apocalyptic number.

It is an amenable number.

257016314313 is a deficient number, since it is larger than the sum of its proper divisors (166950396855).

257016314313 is a wasteful number, since it uses less digits than its factorization.

257016314313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 257016314313 in words is "two hundred fifty-seven billion, sixteen million, three hundred fourteen thousand, three hundred thirteen".