512104000 has 56 divisors (see below), whose sum is σ = 1268245368. Its totient is φ = 204838400.

The previous prime is 512103989. The next prime is 512104001. The reversal of 512104000 is 401215.

It can be written as a sum of positive squares in 4 ways, for example, as 14992384 + 497111616 = 3872^2 + 22296^2 .

It is not an unprimeable number, because it can be changed into a prime (512104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24007 + ... + 40006.

Almost surely, 2^512104000 is an apocalyptic number.

512104000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512104000 is an abundant number, since it is smaller than the sum of its proper divisors (756141368).

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

512104000 is an equidigital number, since it uses as much as digits as its factorization.

512104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64040 (or 64020 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 512104000 is about 22629.7149783200. The cubic root of 512104000 is about 800.0541629995.

Adding to 512104000 its reverse (401215), we get a palindrome (512505215).

The spelling of 512104000 in words is "five hundred twelve million, one hundred four thousand".