513874684626912 has 144 divisors (see below), whose sum is σ = 1671579903127680. Its totient is φ = 146690597534976.

The previous prime is 513874684626893. The next prime is 513874684626967. The reversal of 513874684626912 is 219626486478315.

513874684626912 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 74 + 6 + 8 + 462 + 6 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 111225862 + ... + 115753797.

It is an arithmetic number, because the mean of its divisors is an integer number (11608193771720).

Almost surely, 2^{513874684626912} is an apocalyptic number.

It is an amenable number.

513874684626912 is an abundant number, since it is smaller than the sum of its proper divisors (1157705218500768).

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

513874684626912 is a wasteful number, since it uses less digits than its factorization.

513874684626912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226980805 (or 226980794 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 513874684626912 in words is "five hundred thirteen trillion, eight hundred seventy-four billion, six hundred eighty-four million, six hundred twenty-six thousand, nine hundred twelve".