513768717 has 64 divisors (see below), whose sum is σ = 974745600. Its totient is φ = 259640640.

The previous prime is 513768707. The next prime is 513768737. The reversal of 513768717 is 717867315.

513768717 is a `hidden beast` number, since 513 + 7 + 68 + 71 + 7 = 666.

It is not a de Polignac number, because 513768717 - 2⁴ = 513768701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513768707) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 73584 + ... + 80262.

It is an arithmetic number, because the mean of its divisors is an integer number (15230400).

Almost surely, 2^513768717 is an apocalyptic number.

It is an amenable number.

513768717 is a deficient number, since it is larger than the sum of its proper divisors (460976883).

513768717 is a wasteful number, since it uses less digits than its factorization.

513768717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743 (or 6737 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The square root of 513768717 is about 22666.4667956874. The cubic root of 513768717 is about 800.9201480246.

The spelling of 513768717 in words is "five hundred thirteen million, seven hundred sixty-eight thousand, seven hundred seventeen".