257074564251 has 16 divisors (see below), whose sum is σ = 343779383808. Its totient is φ = 170876772000.

The previous prime is 257074564223. The next prime is 257074564267. The reversal of 257074564251 is 152465470752.

It is not a de Polignac number, because 257074564251 - 2¹⁴ = 257074547867 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257074564251.

It is not an unprimeable number, because it can be changed into a prime (257074564151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2754136 + ... + 2845946.

It is an arithmetic number, because the mean of its divisors is an integer number (21486211488).

Almost surely, 2^257074564251 is an apocalyptic number.

257074564251 is a deficient number, since it is larger than the sum of its proper divisors (86704819557).

257074564251 is a wasteful number, since it uses less digits than its factorization.

257074564251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94562.

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 257074564251 in words is "two hundred fifty-seven billion, seventy-four million, five hundred sixty-four thousand, two hundred fifty-one".