516006361656 has 128 divisors (see below), whose sum is σ = 1478169000000. Its totient is φ = 166680299520.

The previous prime is 516006361639. The next prime is 516006361687. The reversal of 516006361656 is 656163600615.

516006361656 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 0 + 636 + 1 + 6 + 5 + 6 = 666.

It is a congruent number.

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, 1124020 + ... + 1515068.

Almost surely, 2^516006361656 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 516006361656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739084500000).

516006361656 is an abundant number, since it is smaller than the sum of its proper divisors (962162638344).

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

516006361656 is a wasteful number, since it uses less digits than its factorization.

516006361656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391254 (or 391244 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 516006361656 in words is "five hundred sixteen billion, six million, three hundred sixty-one thousand, six hundred fifty-six".