56582725578201 has 9 divisors (see below), whose sum is σ = 81730636208949. Its totient is φ = 37721802007836.

The previous prime is 56582725578193. The next prime is 56582725578229. The reversal of 56582725578201 is 10287552728565.

The square root of 56582725578201 is 7522149.

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

56582725578201 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 2 + 72 + 557 + 8 + 2 + 0 + 1 = 666.

56582725578201 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 (9).

It is not a de Polignac number, because 56582725578201 - 2³ = 56582725578193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56582725578601) 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 8 ways as a sum of consecutive naturals, for example, 21312756 + ... + 23820138.

Almost surely, 2^{56582725578201} is an apocalyptic number.

56582725578201 is the 7522149-th square number.

56582725578201 is the 3761075-th centered octagonal number.

It is an amenable number.

56582725578201 is a deficient number, since it is larger than the sum of its proper divisors (25147910630748).

56582725578201 is an frugal number, since it uses more digits than its factorization.

56582725578201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014772 (or 2507386 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 63.

The spelling of 56582725578201 in words is "fifty-six trillion, five hundred eighty-two billion, seven hundred twenty-five million, five hundred seventy-eight thousand, two hundred one".