513388513360 has 20 divisors (see below), whose sum is σ = 1193628293748. Its totient is φ = 205355405312.

The previous prime is 513388513343. The next prime is 513388513441. The reversal of 513388513360 is 63315883315.

It can be written as a sum of positive squares in 2 ways, for example, as 268411031056 + 244977482304 = 518084^2 + 494952^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 513388513360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3208678129 + ... + 3208678288.

Almost surely, 2^513388513360 is an apocalyptic number.

It is an amenable number.

513388513360 is an abundant number, since it is smaller than the sum of its proper divisors (680239780388).

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

513388513360 is a wasteful number, since it uses less digits than its factorization.

513388513360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417356430 (or 6417356424 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 513388513360 in words is "five hundred thirteen billion, three hundred eighty-eight million, five hundred thirteen thousand, three hundred sixty".