56345225 has 24 divisors (see below), whose sum is σ = 74426040. Its totient is φ = 42168320.

The previous prime is 56345207. The next prime is 56345227. The reversal of 56345225 is 52254365.

56345225 = T₂₄₀ + T₂₄₁ + ... + T₇₀₅.

56345225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 25030009 + 31315216 = 5003^2 + 5596^2 .

It is not a de Polignac number, because 56345225 - 2¹⁴ = 56328841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56345191 and 56345200.

It is not an unprimeable number, because it can be changed into a prime (56345227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 98741 + ... + 99309.

It is an arithmetic number, because the mean of its divisors is an integer number (3101085).

Almost surely, 2^56345225 is an apocalyptic number.

It is an amenable number.

56345225 is a deficient number, since it is larger than the sum of its proper divisors (18080815).

56345225 is a wasteful number, since it uses less digits than its factorization.

56345225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 824 counting only the distinct ones).

The product of its digits is 36000, while the sum is 32.

The square root of 56345225 is about 7506.3456488494. The cubic root of 56345225 is about 383.3708070906.

The spelling of 56345225 in words is "fifty-six million, three hundred forty-five thousand, two hundred twenty-five".