513696817 has 2 divisors, whose sum is σ = 513696818. Its totient is φ = 513696816.

The previous prime is 513696797. The next prime is 513696823. The reversal of 513696817 is 718696315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326308096 + 187388721 = 18064^2 + 13689^2 .

It is a cyclic number.

It is not a de Polignac number, because 513696817 - 2¹⁵ = 513664049 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513690817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256848408 + 256848409.

It is an arithmetic number, because the mean of its divisors is an integer number (256848409).

Almost surely, 2^513696817 is an apocalyptic number.

It is an amenable number.

513696817 is a deficient number, since it is larger than the sum of its proper divisors (1).

513696817 is an equidigital number, since it uses as much as digits as its factorization.

513696817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 46.

The square root of 513696817 is about 22664.8806967961. The cubic root of 513696817 is about 800.8827843606.

The spelling of 513696817 in words is "five hundred thirteen million, six hundred ninety-six thousand, eight hundred seventeen".