256875635241 has 9 divisors (see below), whose sum is σ = 371044780509. Its totient is φ = 171249409836.

The previous prime is 256875635227. The next prime is 256875635249. The reversal of 256875635241 is 142536578652.

The square root of 256875635241 is 506829.

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

256875635241 is a `hidden beast` number, since 2 + 5 + 68 + 7 + 56 + 3 + 524 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 256875635241 - 2²³ = 256867246633 is a prime.

It is a super-2 number, since 2×256875635241² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256875635249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1436016 + ... + 1604958.

Almost surely, 2^256875635241 is an apocalyptic number.

256875635241 is the 506829-th square number.

256875635241 is the 253415-th centered octagonal number.

It is an amenable number.

256875635241 is a deficient number, since it is larger than the sum of its proper divisors (114169145268).

256875635241 is an frugal number, since it uses more digits than its factorization.

256875635241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337892 (or 168946 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

It can be divided in two parts, 2568 and 75635241, that added together give a square (75637809 = 8697²).

The spelling of 256875635241 in words is "two hundred fifty-six billion, eight hundred seventy-five million, six hundred thirty-five thousand, two hundred forty-one".