513164512 has 96 divisors (see below), whose sum is σ = 1203491520. Its totient is φ = 210739200.

The previous prime is 513164501. The next prime is 513164543. The reversal of 513164512 is 215461315.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1279512 + ... + 1279912.

It is an arithmetic number, because the mean of its divisors is an integer number (12536370).

Almost surely, 2^513164512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513164512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601745760).

513164512 is an abundant number, since it is smaller than the sum of its proper divisors (690327008).

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

513164512 is a wasteful number, since it uses less digits than its factorization.

513164512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 513164512 is about 22653.1347058194. The cubic root of 513164512 is about 800.6060574187.

It can be divided in two parts, 513 and 164512, that added together give a triangular number (165025 = T₅₇₄).

The spelling of 513164512 in words is "five hundred thirteen million, one hundred sixty-four thousand, five hundred twelve".