513012200 has 24 divisors (see below), whose sum is σ = 1192753830. Its totient is φ = 205204800.

The previous prime is 513012187. The next prime is 513012223. The reversal of 513012200 is 2210315.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 399760036 + 113252164 = 19994^2 + 10642^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1282331 + ... + 1282730.

Almost surely, 2^513012200 is an apocalyptic number.

513012200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513012200 is an abundant number, since it is smaller than the sum of its proper divisors (679741630).

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

513012200 is a wasteful number, since it uses less digits than its factorization.

513012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565077 (or 2565068 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 513012200 is about 22649.7726257903. The cubic root of 513012200 is about 800.5268404727.

Adding to 513012200 its reverse (2210315), we get a palindrome (515222515).

The spelling of 513012200 in words is "five hundred thirteen million, twelve thousand, two hundred".