513105536240 has 80 divisors (see below), whose sum is σ = 1301530018176. Its totient is φ = 186568377600.

The previous prime is 513105536197. The next prime is 513105536351. The reversal of 513105536240 is 42635501315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 513105536240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21187979 + ... + 21212181.

Almost surely, 2^513105536240 is an apocalyptic number.

It is an amenable number.

513105536240 is an abundant number, since it is smaller than the sum of its proper divisors (788424481936).

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

513105536240 is a wasteful number, since it uses less digits than its factorization.

513105536240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48318 (or 48312 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 513105536240 in words is "five hundred thirteen billion, one hundred five million, five hundred thirty-six thousand, two hundred forty".