56256724225 has 81 divisors (see below), whose sum is σ = 78304152369. Its totient is φ = 40074777600.

The previous prime is 56256724217. The next prime is 56256724243. The reversal of 56256724225 is 52242765265.

The square root of 56256724225 is 237185.

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

It can be written as a sum of positive squares in 40 ways, for example, as 1133197569 + 55123526656 = 33663^2 + 234784^2 .

It is not a de Polignac number, because 56256724225 - 2³ = 56256724217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 632097981 + ... + 632098069.

Almost surely, 2^56256724225 is an apocalyptic number.

56256724225 is the 237185-th square number.

56256724225 is the 118593-rd centered octagonal number.

It is an amenable number.

56256724225 is a deficient number, since it is larger than the sum of its proper divisors (22047428144).

56256724225 is an equidigital number, since it uses as much as digits as its factorization.

56256724225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 46.

The spelling of 56256724225 in words is "fifty-six billion, two hundred fifty-six million, seven hundred twenty-four thousand, two hundred twenty-five".