256608361 has 9 divisors (see below), whose sum is σ = 261090039. Its totient is φ = 252203136.

The previous prime is 256608347. The next prime is 256608383. The reversal of 256608361 is 163806652.

The square root of 256608361 is 16019.

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

256608361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 62173225 + 194435136 = 7885^2 + 13944^2 .

It is not a de Polignac number, because 256608361 - 2²³ = 248219753 is a prime.

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 256608361.

It is not an unprimeable number, because it can be changed into a prime (256608301) 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, 1329481 + ... + 1329673.

Almost surely, 2^256608361 is an apocalyptic number.

256608361 is the 16019-th square number.

256608361 is the 8010-th centered octagonal number.

It is an amenable number.

256608361 is a deficient number, since it is larger than the sum of its proper divisors (4481678).

256608361 is an frugal number, since it uses more digits than its factorization.

256608361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The cubic root of 256608361 is about 635.4629983514.

The spelling of 256608361 in words is "two hundred fifty-six million, six hundred eight thousand, three hundred sixty-one".