513120200 has 48 divisors (see below), whose sum is σ = 1234156500. Its totient is φ = 198168320.

The previous prime is 513120173. The next prime is 513120221. The reversal of 513120200 is 2021315.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 324936676 + 188183524 = 18026^2 + 13718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38435 + ... + 50034.

Almost surely, 2^513120200 is an apocalyptic number.

513120200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513120200 is an abundant number, since it is smaller than the sum of its proper divisors (721036300).

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

513120200 is a wasteful number, since it uses less digits than its factorization.

513120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88514 (or 88505 counting only the distinct ones).

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

The square root of 513120200 is about 22652.1566302196. The cubic root of 513120200 is about 800.5830125173.

Adding to 513120200 its reverse (2021315), we get a palindrome (515141515).

The spelling of 513120200 in words is "five hundred thirteen million, one hundred twenty thousand, two hundred".