512806560 has 144 divisors (see below), whose sum is σ = 1879155936. Its totient is φ = 117207552.

The previous prime is 512806559. The next prime is 512806571. The reversal of 512806560 is 65608215.

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 23 ways as a sum of consecutive naturals, for example, 12619 + ... + 34421.

It is an arithmetic number, because the mean of its divisors is an integer number (13049694).

Almost surely, 2^512806560 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 512806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939577968).

512806560 is an abundant number, since it is smaller than the sum of its proper divisors (1366349376).

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

512806560 is a wasteful number, since it uses less digits than its factorization.

512806560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21835 (or 21820 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 512806560 is about 22645.2326108609. The cubic root of 512806560 is about 800.4198629387.

The spelling of 512806560 in words is "five hundred twelve million, eight hundred six thousand, five hundred sixty".