56517930225 has 81 divisors (see below), whose sum is σ = 105297391147. Its totient is φ = 30091545360.

The previous prime is 56517930211. The next prime is 56517930229. The reversal of 56517930225 is 52203971565.

The square root of 56517930225 is 237735.

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., 20346454881 + 36171475344 = 142641^2 + 190188^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 56517930225 - 2¹⁷ = 56517799153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56517930229) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 96282382 + ... + 96282968.

Almost surely, 2^56517930225 is an apocalyptic number.

56517930225 is the 237735-th square number.

56517930225 is the 118868-th centered octagonal number.

It is an amenable number.

56517930225 is a deficient number, since it is larger than the sum of its proper divisors (48779460922).

56517930225 is an frugal number, since it uses more digits than its factorization.

56517930225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 56517930225 in words is "fifty-six billion, five hundred seventeen million, nine hundred thirty thousand, two hundred twenty-five".