506516564 has 24 divisors (see below), whose sum is σ = 968825088. Its totient is φ = 230670720.

The previous prime is 506516539. The next prime is 506516567. The reversal of 506516564 is 465615605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506516567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118034 + ... + 122249.

It is an arithmetic number, because the mean of its divisors is an integer number (40367712).

Almost surely, 2^506516564 is an apocalyptic number.

It is an amenable number.

506516564 is a deficient number, since it is larger than the sum of its proper divisors (462308524).

506516564 is a wasteful number, since it uses less digits than its factorization.

506516564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240335 (or 240333 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 506516564 is about 22505.9228648816. The cubic root of 506516564 is about 797.1337870429.

The spelling of 506516564 in words is "five hundred six million, five hundred sixteen thousand, five hundred sixty-four".