256517938576 has 45 divisors (see below), whose sum is σ = 501450692769. Its totient is φ = 127121424192.

The previous prime is 256517938549. The next prime is 256517938591. The reversal of 256517938576 is 675839715652.

It is a happy number.

The square root of 256517938576 is 506476.

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., 220806010000 + 35711928576 = 469900^2 + 188976^2 .

It is a super-2 number, since 2×256517938576² (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, 257289310 + ... + 257290306.

Almost surely, 2^256517938576 is an apocalyptic number.

256517938576 is the 506476-th square number.

It is an amenable number.

256517938576 is a deficient number, since it is larger than the sum of its proper divisors (244932754193).

256517938576 is an frugal number, since it uses more digits than its factorization.

256517938576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 1126 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 64.

Multiplying 256517938576 by its sum of digits (64), we get a square (16417148068864 = 4051808²).

The spelling of 256517938576 in words is "two hundred fifty-six billion, five hundred seventeen million, nine hundred thirty-eight thousand, five hundred seventy-six".