56475225 has 45 divisors (see below), whose sum is σ = 105241807. Its totient is φ = 29939760.

The previous prime is 56475193. The next prime is 56475233. The reversal of 56475225 is 52257465.

The square root of 56475225 is 7515.

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

56475225 is a `hidden beast` number, since 5 + 647 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20331081 + 36144144 = 4509^2 + 6012^2 .

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

It is not a de Polignac number, because 56475225 - 2⁵ = 56475193 is a prime.

It is a Duffinian number.

Its product of digits (84000) is a multiple of the sum of its prime divisors (175).

It is a self number, because there is not a number n which added to its sum of digits gives 56475225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 338092 + ... + 338258.

Almost surely, 2^56475225 is an apocalyptic number.

56475225 is the 7515-th square number.

56475225 is the 3758-th centered octagonal number.

It is an amenable number.

56475225 is a deficient number, since it is larger than the sum of its proper divisors (48766582).

56475225 is an equidigital number, since it uses as much as digits as its factorization.

56475225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 175 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The cubic root of 56475225 is about 383.6654190119.

Multiplying 56475225 by its sum of digits (36), we get a square (2033108100 = 45090²).

The spelling of 56475225 in words is "fifty-six million, four hundred seventy-five thousand, two hundred twenty-five".