506106100634560 has 112 divisors (see below), whose sum is σ = 1248039089753760. Its totient is φ = 195255262146560.

The previous prime is 506106100634557. The next prime is 506106100634599. The reversal of 506106100634560 is 65436001601605.

It is a super-2 number, since 2×506106100634560² (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, 20006611 + ... + 37582930.

Almost surely, 2^{506106100634560} is an apocalyptic number.

It is an amenable number.

506106100634560 is an abundant number, since it is smaller than the sum of its proper divisors (741932989119200).

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

506106100634560 is a wasteful number, since it uses less digits than its factorization.

506106100634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57590534 (or 57590524 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 506106100634560 in words is "five hundred six trillion, one hundred six billion, one hundred million, six hundred thirty-four thousand, five hundred sixty".