512813160 has 384 divisors, whose sum is σ = 1909785600. Its totient is φ = 122204160.

The previous prime is 512813123. The next prime is 512813201. The reversal of 512813160 is 61318215.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 9675694 + ... + 9675746.

It is an arithmetic number, because the mean of its divisors is an integer number (4973400).

Almost surely, 2^512813160 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 512813160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954892800).

512813160 is an abundant number, since it is smaller than the sum of its proper divisors (1396972440).

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

512813160 is a wasteful number, since it uses less digits than its factorization.

512813160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 512813160 is about 22645.3783364288. The cubic root of 512813160 is about 800.4232968186.

The spelling of 512813160 in words is "five hundred twelve million, eight hundred thirteen thousand, one hundred sixty".