517965929168 has 20 divisors (see below), whose sum is σ = 1003618800000. Its totient is φ = 258967529184.

The previous prime is 517965929153. The next prime is 517965929197. The reversal of 517965929168 is 861929569715.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 517965929098 and 517965929107.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 685418 + ... + 1227081.

It is an arithmetic number, because the mean of its divisors is an integer number (50180940000).

Almost surely, 2^517965929168 is an apocalyptic number.

It is an amenable number.

517965929168 is a deficient number, since it is larger than the sum of its proper divisors (485652870832).

517965929168 is a wasteful number, since it uses less digits than its factorization.

517965929168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929434 (or 1929428 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 68.

The spelling of 517965929168 in words is "five hundred seventeen billion, nine hundred sixty-five million, nine hundred twenty-nine thousand, one hundred sixty-eight".