56589273225 has 27 divisors (see below), whose sum is σ = 101364067623. Its totient is φ = 30179042640.

The previous prime is 56589273217. The next prime is 56589273233. The reversal of 56589273225 is 52237298565.

It is a happy number.

The square root of 56589273225 is 237885.

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

56589273225 is a `hidden beast` number, since 5 + 6 + 589 + 2 + 7 + 32 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (56589273217) and next prime (56589273233).

It can be written as a sum of positive squares in only one way, i.e., 20372138361 + 36217134864 = 142731^2 + 190308^2 .

It is not a de Polignac number, because 56589273225 - 2³ = 56589273217 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3560346 + ... + 3576204.

Almost surely, 2^56589273225 is an apocalyptic number.

56589273225 is the 237885-th square number.

56589273225 is the 118943-rd centered octagonal number.

It is an amenable number.

56589273225 is a deficient number, since it is larger than the sum of its proper divisors (44774794398).

56589273225 is an frugal number, since it uses more digits than its factorization.

56589273225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31734 (or 15867 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 56589273225 in words is "fifty-six billion, five hundred eighty-nine million, two hundred seventy-three thousand, two hundred twenty-five".