56565441 has 27 divisors (see below), whose sum is σ = 86203299. Its totient is φ = 35739792.

The previous prime is 56565433. The next prime is 56565473. The reversal of 56565441 is 14456565.

The square root of 56565441 is 7521.

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

56565441 is a `hidden beast` number, since 56 + 565 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39425841 + 17139600 = 6279^2 + 4140^2 .

It is not a de Polignac number, because 56565441 - 2³ = 56565433 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56565396 and 56565405.

It is not an unprimeable number, because it can be changed into a prime (56565241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 518895 + ... + 519003.

Almost surely, 2^56565441 is an apocalyptic number.

56565441 is the 7521-st square number.

56565441 is the 3761-st centered octagonal number.

It is an amenable number.

56565441 is a deficient number, since it is larger than the sum of its proper divisors (29637858).

56565441 is a wasteful number, since it uses less digits than its factorization.

56565441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The cubic root of 56565441 is about 383.8696049780.

Multiplying 56565441 by its sum of digits (36), we get a square (2036355876 = 45126²).

The spelling of 56565441 in words is "fifty-six million, five hundred sixty-five thousand, four hundred forty-one".