56579024741409 has 27 divisors (see below), whose sum is σ = 84865139218353. Its totient is φ = 37718943644844.

The previous prime is 56579024741389. The next prime is 56579024741423. The reversal of 56579024741409 is 90414742097565.

The square root of 56579024741409 is 7521903.

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

56579024741409 is a `hidden beast` number, since 5 + 6 + 57 + 90 + 24 + 74 + 1 + 409 = 666.

56579024741409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 56579024741409 - 2¹¹ = 56579024739361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56579024741509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 609227712 + ... + 609320574.

Almost surely, 2^{56579024741409} is an apocalyptic number.

56579024741409 is the 7521903-rd square number.

56579024741409 is the 3760952-nd centered octagonal number.

It is an amenable number.

56579024741409 is a deficient number, since it is larger than the sum of its proper divisors (28286114476944).

56579024741409 is an frugal number, since it uses more digits than its factorization.

56579024741409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185750 (or 92866 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 56579024741409 in words is "fifty-six trillion, five hundred seventy-nine billion, twenty-four million, seven hundred forty-one thousand, four hundred nine".