512939952 has 240 divisors, whose sum is σ = 1741888512. Its totient is φ = 143078400.

The previous prime is 512939909. The next prime is 512939957. The reversal of 512939952 is 259939215.

It is a junction number, because it is equal to n+sod(n) for n = 512939898 and 512939907.

It is not an unprimeable number, because it can be changed into a prime (512939957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278952 + ... + 1279352.

Almost surely, 2^512939952 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 512939952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870944256).

512939952 is an abundant number, since it is smaller than the sum of its proper divisors (1228948560).

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

512939952 is a wasteful number, since it uses less digits than its factorization.

512939952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 460 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 512939952 is about 22648.1776750360. The cubic root of 512939952 is about 800.4892590543.

The spelling of 512939952 in words is "five hundred twelve million, nine hundred thirty-nine thousand, nine hundred fifty-two".