506661615656 has 128 divisors (see below), whose sum is σ = 1159048396800. Its totient is φ = 202815083520.

The previous prime is 506661615613. The next prime is 506661615661. The reversal of 506661615656 is 656516166605.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 506661615598 and 506661615607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22953281 + ... + 22975343.

It is an arithmetic number, because the mean of its divisors is an integer number (9055065600).

Almost surely, 2^506661615656 is an apocalyptic number.

506661615656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506661615656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579524198400).

506661615656 is an abundant number, since it is smaller than the sum of its proper divisors (652386781144).

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

506661615656 is a wasteful number, since it uses less digits than its factorization.

506661615656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22399 (or 22395 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 53.

The spelling of 506661615656 in words is "five hundred six billion, six hundred sixty-one million, six hundred fifteen thousand, six hundred fifty-six".