513137776500 has 144 divisors (see below), whose sum is σ = 1670997758976. Its totient is φ = 132422616000.

The previous prime is 513137776493. The next prime is 513137776511. The reversal of 513137776500 is 5677731315.

513137776500 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 3 + 77 + 76 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1699704 + ... + 1978703.

It is an arithmetic number, because the mean of its divisors is an integer number (11604151104).

Almost surely, 2^513137776500 is an apocalyptic number.

513137776500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513137776500 is an abundant number, since it is smaller than the sum of its proper divisors (1157859982476).

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

513137776500 is a wasteful number, since it uses less digits than its factorization.

513137776500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678463 (or 3678448 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The spelling of 513137776500 in words is "five hundred thirteen billion, one hundred thirty-seven million, seven hundred seventy-six thousand, five hundred".