513516938346 has 48 divisors (see below), whose sum is σ = 1119227466240. Its totient is φ = 170156098080.

The previous prime is 513516938287. The next prime is 513516938437. The reversal of 513516938346 is 643839615315.

513516938346 is a `hidden beast` number, since 5 + 1 + 3 + 516 + 9 + 3 + 83 + 46 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513516938292 and 513516938301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34617151 + ... + 34631981.

It is an arithmetic number, because the mean of its divisors is an integer number (23317238880).

Almost surely, 2^513516938346 is an apocalyptic number.

513516938346 is an abundant number, since it is smaller than the sum of its proper divisors (605710527894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513516938346 is a wasteful number, since it uses less digits than its factorization.

513516938346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26131 (or 26128 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 513516938346 in words is "five hundred thirteen billion, five hundred sixteen million, nine hundred thirty-eight thousand, three hundred forty-six".