513632663017 has 2 divisors, whose sum is σ = 513632663018. Its totient is φ = 513632663016.

The previous prime is 513632662943. The next prime is 513632663057. The reversal of 513632663017 is 710366236315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 501581234176 + 12051428841 = 708224^2 + 109779^2 .

It is a cyclic number.

It is not a de Polignac number, because 513632663017 - 2⁷ = 513632662889 is a prime.

It is not a weakly prime, because it can be changed into another prime (513632663057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256816331508 + 256816331509.

It is an arithmetic number, because the mean of its divisors is an integer number (256816331509).

Almost surely, 2^513632663017 is an apocalyptic number.

It is an amenable number.

513632663017 is a deficient number, since it is larger than the sum of its proper divisors (1).

513632663017 is an equidigital number, since it uses as much as digits as its factorization.

513632663017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 513632663017 in words is "five hundred thirteen billion, six hundred thirty-two million, six hundred sixty-three thousand, seventeen".