512893164 has 96 divisors (see below), whose sum is σ = 1410393600. Its totient is φ = 142023168.

The previous prime is 512893141. The next prime is 512893189. The reversal of 512893164 is 461398215.

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 31 ways as a sum of consecutive naturals, for example, 537712 + ... + 538664.

It is an arithmetic number, because the mean of its divisors is an integer number (14691600).

Almost surely, 2^512893164 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 512893164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705196800).

512893164 is an abundant number, since it is smaller than the sum of its proper divisors (897500436).

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

512893164 is a wasteful number, since it uses less digits than its factorization.

512893164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1157 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 512893164 is about 22647.1447206927. The cubic root of 512893164 is about 800.4649193435.

It can be divided in two parts, 51 and 2893164, that added together give a triangular number (2893215 = T₂₄₀₅).

The spelling of 512893164 in words is "five hundred twelve million, eight hundred ninety-three thousand, one hundred sixty-four".