56531413565 has 24 divisors (see below), whose sum is σ = 76384103544. Its totient is φ = 40110963200.

The previous prime is 56531413559. The next prime is 56531413567.

It is a happy number.

56531413565 is nontrivially palindromic in base 10.

56531413565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1190733049 + 55340680516 = 34507^2 + 235246^2 .

It is not a de Polignac number, because 56531413565 - 2²² = 56527219261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56531413567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114712 + ... + 1164321.

It is an arithmetic number, because the mean of its divisors is an integer number (3182670981).

Almost surely, 2^56531413565 is an apocalyptic number.

56531413565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56531413565 is a deficient number, since it is larger than the sum of its proper divisors (19852689979).

56531413565 is a wasteful number, since it uses less digits than its factorization.

56531413565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279101 (or 2279090 counting only the distinct ones).

The product of its digits is 810000, while the sum is 44.

Adding to 56531413565 its product of digits (810000), we get a palindrome (56532223565).

Subtracting from 56531413565 its product of digits (810000), we obtain a palindrome (56530603565).

The spelling of 56531413565 in words is "fifty-six billion, five hundred thirty-one million, four hundred thirteen thousand, five hundred sixty-five".