506112564 has 48 divisors (see below), whose sum is σ = 1192181760. Its totient is φ = 167105760.

The previous prime is 506112527. The next prime is 506112583. The reversal of 506112564 is 465211605.

It is a super-2 number, since 2×506112564² = 512299854877308192, which 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, 1005937 + ... + 1006439.

It is an arithmetic number, because the mean of its divisors is an integer number (24837120).

Almost surely, 2^506112564 is an apocalyptic number.

It is an amenable number.

506112564 is an abundant number, since it is smaller than the sum of its proper divisors (686069196).

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

506112564 is a wasteful number, since it uses less digits than its factorization.

506112564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 506112564 is about 22496.9456593556. The cubic root of 506112564 is about 796.9217981159.

The spelling of 506112564 in words is "five hundred six million, one hundred twelve thousand, five hundred sixty-four".