257164431095 has 32 divisors (see below), whose sum is σ = 370979288064. Its totient is φ = 168626908800.

The previous prime is 257164431061. The next prime is 257164431107. The reversal of 257164431095 is 590134461752.

It is a happy number.

It is not a de Polignac number, because 257164431095 - 2⁶ = 257164431031 is a prime.

It is a super-2 number, since 2×257164431095² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4151471 + ... + 4212960.

It is an arithmetic number, because the mean of its divisors is an integer number (11593102752).

Almost surely, 2^257164431095 is an apocalyptic number.

257164431095 is a deficient number, since it is larger than the sum of its proper divisors (113814856969).

257164431095 is a wasteful number, since it uses less digits than its factorization.

257164431095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8364503.

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 257164431095 in words is "two hundred fifty-seven billion, one hundred sixty-four million, four hundred thirty-one thousand, ninety-five".