513402504617 has 2 divisors, whose sum is σ = 513402504618. Its totient is φ = 513402504616.

The previous prime is 513402504611. The next prime is 513402504697. The reversal of 513402504617 is 716405204315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 483107013481 + 30295491136 = 695059^2 + 174056^2 .

It is a cyclic number.

It is not a de Polignac number, because 513402504617 - 2⁶ = 513402504553 is a prime.

It is not a weakly prime, because it can be changed into another prime (513402504611) 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 as a sum of consecutive naturals, namely, 256701252308 + 256701252309.

It is an arithmetic number, because the mean of its divisors is an integer number (256701252309).

Almost surely, 2^513402504617 is an apocalyptic number.

It is an amenable number.

513402504617 is a deficient number, since it is larger than the sum of its proper divisors (1).

513402504617 is an equidigital number, since it uses as much as digits as its factorization.

513402504617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 513402504617 in words is "five hundred thirteen billion, four hundred two million, five hundred four thousand, six hundred seventeen".