513317008509 has 16 divisors (see below), whose sum is σ = 686306525184. Its totient is φ = 341270102000.

The previous prime is 513317008447. The next prime is 513317008537. The reversal of 513317008509 is 905800713315.

It is a cyclic number.

It is not a de Polignac number, because 513317008509 - 2⁹ = 513317007997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513317008909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955412 + ... + 3124274.

It is an arithmetic number, because the mean of its divisors is an integer number (42894157824).

Almost surely, 2^513317008509 is an apocalyptic number.

It is an amenable number.

513317008509 is a deficient number, since it is larger than the sum of its proper divisors (172989516675).

513317008509 is a wasteful number, since it uses less digits than its factorization.

513317008509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171648.

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 513317008509 in words is "five hundred thirteen billion, three hundred seventeen million, eight thousand, five hundred nine".