56619726601 has 9 divisors (see below), whose sum is σ = 60150512149. Its totient is φ = 53285347264.

The previous prime is 56619726577. The next prime is 56619726617. The reversal of 56619726601 is 10662791665.

The square root of 56619726601 is 237949.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4389195001 + 52230531600 = 66251^2 + 228540^2 .

It is not a de Polignac number, because 56619726601 - 2¹³ = 56619718409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56619126601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4038135 + ... + 4052131.

Almost surely, 2^56619726601 is an apocalyptic number.

56619726601 is the 237949-th square number.

56619726601 is the 118975-th centered octagonal number.

It is an amenable number.

56619726601 is a deficient number, since it is larger than the sum of its proper divisors (3530785548).

56619726601 is an frugal number, since it uses more digits than its factorization.

56619726601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28028 (or 14014 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 56619726601 by its sum of digits (49), we get a square (2774366603449 = 1665643²).

The spelling of 56619726601 in words is "fifty-six billion, six hundred nineteen million, seven hundred twenty-six thousand, six hundred one".