506616566605656 has 64 divisors (see below), whose sum is σ = 1364698247404800. Its totient is φ = 155798526999168.

The previous prime is 506616566605637. The next prime is 506616566605711. The reversal of 506616566605656 is 656506665616605.

It is a super-2 number, since 2×506616566605656² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434278516 + ... + 435443523.

It is an arithmetic number, because the mean of its divisors is an integer number (21323410115700).

Almost surely, 2^{506616566605656} is an apocalyptic number.

It is an amenable number.

506616566605656 is an abundant number, since it is smaller than the sum of its proper divisors (858081680799144).

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

506616566605656 is a wasteful number, since it uses less digits than its factorization.

506616566605656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869723928 (or 869723924 counting only the distinct ones).

The product of its (nonzero) digits is 1049760000, while the sum is 69.

The spelling of 506616566605656 in words is "five hundred six trillion, six hundred sixteen billion, five hundred sixty-six million, six hundred five thousand, six hundred fifty-six".