56918030625 has 45 divisors (see below), whose sum is σ = 102768087279. Its totient is φ = 30346740000.

The previous prime is 56918030591. The next prime is 56918030647. The reversal of 56918030625 is 52603081965.

The square root of 56918030625 is 238575.

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

56918030625 is a `hidden beast` number, since 5 + 6 + 9 + 18 + 0 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 56915167761 + 2862864 = 238569^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 56918030625 - 2¹¹ = 56918028577 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17891535 + ... + 17894715.

Almost surely, 2^56918030625 is an apocalyptic number.

56918030625 is the 238575-th square number.

56918030625 is the 119288-th centered octagonal number.

It is an amenable number.

56918030625 is a deficient number, since it is larger than the sum of its proper divisors (45850056654).

56918030625 is an frugal number, since it uses more digits than its factorization.

56918030625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 56918030625 in words is "fifty-six billion, nine hundred eighteen million, thirty thousand, six hundred twenty-five".