5213656656 has 240 divisors, whose sum is σ = 16397231760. Its totient is φ = 1535385600.

The previous prime is 5213656633. The next prime is 5213656661. The reversal of 5213656656 is 6566563125.

5213656656 is a `hidden beast` number, since 5 + 2 + 1 + 36 + 566 + 56 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21013056 + 5192643600 = 4584^2 + 72060^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7437106 + ... + 7437806.

It is an arithmetic number, because the mean of its divisors is an integer number (68321799).

Almost surely, 2^5213656656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5213656656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198615880).

5213656656 is an abundant number, since it is smaller than the sum of its proper divisors (11183575104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5213656656 is a wasteful number, since it uses less digits than its factorization.

5213656656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 885 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 5213656656 is about 72205.6552909812. The cubic root of 5213656656 is about 1733.9935425181.

The spelling of 5213656656 in words is "five billion, two hundred thirteen million, six hundred fifty-six thousand, six hundred fifty-six".