257117956624 has 45 divisors (see below), whose sum is σ = 503210984493. Its totient is φ = 127270011456.

The previous prime is 257117956619. The next prime is 257117956637. The reversal of 257117956624 is 426659711752.

The square root of 257117956624 is 507068.

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

It can be written as a sum of positive squares in only one way, i.e., 179209982224 + 77907974400 = 423332^2 + 279120^2 .

It is a super-2 number, since 2×257117956624² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 221081067 + ... + 221082229.

Almost surely, 2^257117956624 is an apocalyptic number.

257117956624 is the 507068-th square number.

It is an amenable number.

257117956624 is a deficient number, since it is larger than the sum of its proper divisors (246093027869).

257117956624 is an frugal number, since it uses more digits than its factorization.

257117956624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 1274 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 55.

The spelling of 257117956624 in words is "two hundred fifty-seven billion, one hundred seventeen million, nine hundred fifty-six thousand, six hundred twenty-four".