513342066564 has 48 divisors (see below), whose sum is σ = 1330933051840. Its totient is φ = 171108080640.

The previous prime is 513342066551. The next prime is 513342066607. The reversal of 513342066564 is 465660243315.

513342066564 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 4 + 20 + 66 + 564 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3950532 + ... + 4078404.

Almost surely, 2^513342066564 is an apocalyptic number.

513342066564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513342066564 is an abundant number, since it is smaller than the sum of its proper divisors (817590985276).

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

513342066564 is a wasteful number, since it uses less digits than its factorization.

513342066564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165057 (or 165049 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 513342066564 in words is "five hundred thirteen billion, three hundred forty-two million, sixty-six thousand, five hundred sixty-four".