513720517 has 2 divisors, whose sum is σ = 513720518. Its totient is φ = 513720516.

The previous prime is 513720503. The next prime is 513720521. The reversal of 513720517 is 715027315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 260305956 + 253414561 = 16134^2 + 15919^2 .

It is a cyclic number.

It is not a de Polignac number, because 513720517 - 2¹⁵ = 513687749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513720577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256860258 + 256860259.

It is an arithmetic number, because the mean of its divisors is an integer number (256860259).

Almost surely, 2^513720517 is an apocalyptic number.

It is an amenable number.

513720517 is a deficient number, since it is larger than the sum of its proper divisors (1).

513720517 is an equidigital number, since it uses as much as digits as its factorization.

513720517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 513720517 is about 22665.4035260791. The cubic root of 513720517 is about 800.8951007240.

The spelling of 513720517 in words is "five hundred thirteen million, seven hundred twenty thousand, five hundred seventeen".