257175765625 has 21 divisors (see below), whose sum is σ = 321544849017. Its totient is φ = 205689900000.

The previous prime is 257175765611. The next prime is 257175765631. The reversal of 257175765625 is 526567571752.

The square root of 257175765625 is 507125.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 215753747049 + 41422018576 = 464493^2 + 203524^2 .

It is not a de Polignac number, because 257175765625 - 2⁵ = 257175765593 is a prime.

It is a super-2 number, since 2×257175765625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257175765625.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 63388597 + ... + 63392653.

It is an arithmetic number, because the mean of its divisors is an integer number (15311659477).

Almost surely, 2^257175765625 is an apocalyptic number.

257175765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257175765625 is the 507125-th square number.

257175765625 is the 253563-rd centered octagonal number.

It is an amenable number.

257175765625 is a deficient number, since it is larger than the sum of its proper divisors (64369083392).

257175765625 is an frugal number, since it uses more digits than its factorization.

257175765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8144 (or 4062 counting only the distinct ones).

The product of its digits is 30870000, while the sum is 58.

The spelling of 257175765625 in words is "two hundred fifty-seven billion, one hundred seventy-five million, seven hundred sixty-five thousand, six hundred twenty-five".