513813564 has 48 divisors (see below), whose sum is σ = 1453213440. Its totient is φ = 155700720.

The previous prime is 513813539. The next prime is 513813577. The reversal of 513813564 is 465318315.

513813564 is a `hidden beast` number, since 5 + 13 + 81 + 3 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215064 + ... + 217439.

It is an arithmetic number, because the mean of its divisors is an integer number (30275280).

Almost surely, 2^513813564 is an apocalyptic number.

513813564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513813564 is an abundant number, since it is smaller than the sum of its proper divisors (939399876).

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

513813564 is a wasteful number, since it uses less digits than its factorization.

513813564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432527 (or 432519 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 513813564 is about 22667.4560548819. The cubic root of 513813564 is about 800.9434515200.

It can be divided in two parts, 51381 and 3564, that added together give a palindrome (54945).

The spelling of 513813564 in words is "five hundred thirteen million, eight hundred thirteen thousand, five hundred sixty-four".