513216069992640 has 224 divisors, whose sum is σ = 2069156853864960. Its totient is φ = 117306530270208.

The previous prime is 513216069992537. The next prime is 513216069992641. The reversal of 513216069992640 is 46299960612315.

513216069992640 is a `hidden beast` number, since 5 + 13 + 2 + 1 + 606 + 9 + 9 + 9 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (513216069992641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4242797242 + ... + 4242918201.

Almost surely, 2^{513216069992640} is an apocalyptic number.

It is an amenable number.

513216069992640 is an abundant number, since it is smaller than the sum of its proper divisors (1555940783872320).

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

513216069992640 is a wasteful number, since it uses less digits than its factorization.

513216069992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485715476 (or 8485715460 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 513216069992640 in words is "five hundred thirteen trillion, two hundred sixteen billion, sixty-nine million, nine hundred ninety-two thousand, six hundred forty".