513715613 has 8 divisors (see below), whose sum is σ = 519371832. Its totient is φ = 508087296.

The previous prime is 513715607. The next prime is 513715621. The reversal of 513715613 is 316517315.

It can be written as a sum of positive squares in 4 ways, for example, as 151117849 + 362597764 = 12293^2 + 19042^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513715613 - 2¹⁰ = 513714589 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513715613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513715313) 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 7 ways as a sum of consecutive naturals, for example, 31181 + ... + 44717.

It is an arithmetic number, because the mean of its divisors is an integer number (64921479).

Almost surely, 2^513715613 is an apocalyptic number.

It is an amenable number.

513715613 is a deficient number, since it is larger than the sum of its proper divisors (5656219).

513715613 is a wasteful number, since it uses less digits than its factorization.

513715613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951.

The product of its digits is 9450, while the sum is 32.

The square root of 513715613 is about 22665.2953433217. The cubic root of 513715613 is about 800.8925522553.

The spelling of 513715613 in words is "five hundred thirteen million, seven hundred fifteen thousand, six hundred thirteen".