513354515013 has 12 divisors (see below), whose sum is σ = 741638540448. Its totient is φ = 342177975720.

The previous prime is 513354514993. The next prime is 513354515027. The reversal of 513354515013 is 310515453315.

513354515013 is a `hidden beast` number, since 5 + 133 + 5 + 4 + 515 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 513354515013 - 2⁶ = 513354514949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513354515033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4808233 + ... + 4913838.

It is an arithmetic number, because the mean of its divisors is an integer number (61803211704).

Almost surely, 2^513354515013 is an apocalyptic number.

It is an amenable number.

513354515013 is a deficient number, since it is larger than the sum of its proper divisors (228284025435).

513354515013 is a wasteful number, since it uses less digits than its factorization.

513354515013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9727944 (or 9727941 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 513354515013 its reverse (310515453315), we get a palindrome (823869968328).

The spelling of 513354515013 in words is "five hundred thirteen billion, three hundred fifty-four million, five hundred fifteen thousand, thirteen".