257164776110225 has 6 divisors (see below), whose sum is σ = 318884322376710. Its totient is φ = 205731820888160.

The previous prime is 257164776110219. The next prime is 257164776110387. The reversal of 257164776110225 is 522011677461752.

It can be written as a sum of positive squares in 3 ways, for example, as 30250803005329 + 226913973104896 = 5500073^2 + 15063664^2 .

It is not a de Polignac number, because 257164776110225 - 2²⁸ = 257164507674769 is a prime.

It is a super-2 number, since 2×257164776110225² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5143295522180 + ... + 5143295522229.

It is an arithmetic number, because the mean of its divisors is an integer number (53147387062785).

Almost surely, 2^{257164776110225} is an apocalyptic number.

257164776110225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257164776110225 is a deficient number, since it is larger than the sum of its proper divisors (61719546266485).

257164776110225 is a wasteful number, since it uses less digits than its factorization.

257164776110225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286591044419 (or 10286591044414 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 56.

The spelling of 257164776110225 in words is "two hundred fifty-seven trillion, one hundred sixty-four billion, seven hundred seventy-six million, one hundred ten thousand, two hundred twenty-five".