513836646976 has 21 divisors (see below), whose sum is σ = 1019655976051. Its totient is φ = 256915456192.

The previous prime is 513836646941. The next prime is 513836646977. The reversal of 513836646976 is 679646638315.

The square root of 513836646976 is 716824.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513836646977) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5689791 + ... + 5779393.

Almost surely, 2^513836646976 is an apocalyptic number.

513836646976 is the 716824-th square number.

It is an amenable number.

513836646976 is a deficient number, since it is larger than the sum of its proper divisors (505819329075).

513836646976 is an frugal number, since it uses more digits than its factorization.

513836646976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179218 (or 89605 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 64.

Multiplying 513836646976 by its sum of digits (64), we get a square (32885545406464 = 5734592²).

513836646976 divided by its sum of digits (64) gives a square (8028697609 = 89603²).

The spelling of 513836646976 in words is "five hundred thirteen billion, eight hundred thirty-six million, six hundred forty-six thousand, nine hundred seventy-six".