513317008537 has 2 divisors, whose sum is σ = 513317008538. Its totient is φ = 513317008536.

The previous prime is 513317008447. The next prime is 513317008553. The reversal of 513317008537 is 735800713315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 449924343696 + 63392664841 = 670764^2 + 251779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513317008537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513317008493 and 513317008502.

It is not a weakly prime, because it can be changed into another prime (513317008037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256658504268 + 256658504269.

It is an arithmetic number, because the mean of its divisors is an integer number (256658504269).

Almost surely, 2^513317008537 is an apocalyptic number.

It is an amenable number.

513317008537 is a deficient number, since it is larger than the sum of its proper divisors (1).

513317008537 is an equidigital number, since it uses as much as digits as its factorization.

513317008537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 513317008537 in words is "five hundred thirteen billion, three hundred seventeen million, eight thousand, five hundred thirty-seven".