513700767072 has 48 divisors (see below), whose sum is σ = 1498293906480. Its totient is φ = 171233588736.

The previous prime is 513700767071. The next prime is 513700767091. The reversal of 513700767072 is 270767007315.

513700767072 is a `hidden beast` number, since 513 + 7 + 0 + 0 + 7 + 67 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×513700767072² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513700767071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297279673 + ... + 297281400.

It is an arithmetic number, because the mean of its divisors is an integer number (31214456385).

Almost surely, 2^513700767072 is an apocalyptic number.

It is an amenable number.

513700767072 is an abundant number, since it is smaller than the sum of its proper divisors (984593139408).

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

513700767072 is a wasteful number, since it uses less digits than its factorization.

513700767072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594561092 (or 594561078 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 513700767072 in words is "five hundred thirteen billion, seven hundred million, seven hundred sixty-seven thousand, seventy-two".