513730200 has 192 divisors, whose sum is σ = 1663241760. Its totient is φ = 131051520.

The previous prime is 513730199. The next prime is 513730207. The reversal of 513730200 is 2037315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513730207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1620442 + ... + 1620758.

Almost surely, 2^513730200 is an apocalyptic number.

513730200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513730200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831620880).

513730200 is an abundant number, since it is smaller than the sum of its proper divisors (1149511560).

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

513730200 is a wasteful number, since it uses less digits than its factorization.

513730200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 513730200 is about 22665.6171325645. The cubic root of 513730200 is about 800.9001326550.

Adding to 513730200 its reverse (2037315), we get a palindrome (515767515).

The spelling of 513730200 in words is "five hundred thirteen million, seven hundred thirty thousand, two hundred".