56625437521 has 27 divisors (see below), whose sum is σ = 59537084763. Its totient is φ = 53855333520.

The previous prime is 56625437459. The next prime is 56625437551. The reversal of 56625437521 is 12573452665.

It is a happy number.

The square root of 56625437521 is 237961.

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

It can be written as a sum of positive squares in only one way, i.e., 1841353921 + 54784083600 = 42911^2 + 234060^2 .

It is not a de Polignac number, because 56625437521 - 2⁹ = 56625437009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56625437551) 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 26 ways as a sum of consecutive naturals, for example, 682234146 + ... + 682234228.

Almost surely, 2^56625437521 is an apocalyptic number.

56625437521 is the 237961-st square number.

56625437521 is the 118981-st centered octagonal number.

It is an amenable number.

56625437521 is a deficient number, since it is larger than the sum of its proper divisors (2911647242).

56625437521 is an frugal number, since it uses more digits than its factorization.

56625437521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 46.

The spelling of 56625437521 in words is "fifty-six billion, six hundred twenty-five million, four hundred thirty-seven thousand, five hundred twenty-one".