513131200 has 84 divisors (see below), whose sum is σ = 1280690352. Its totient is φ = 202316800.

The previous prime is 513131197. The next prime is 513131209. The reversal of 513131200 is 2131315.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (513131209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 111342 + ... + 115858.

Almost surely, 2^513131200 is an apocalyptic number.

513131200 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 513131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640345176).

513131200 is an abundant number, since it is smaller than the sum of its proper divisors (767559152).

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

513131200 is a wasteful number, since it uses less digits than its factorization.

513131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 513131200 is about 22652.3994314068. The cubic root of 513131200 is about 800.5887333018.

Adding to 513131200 its reverse (2131315), we get a palindrome (515262515).

The spelling of 513131200 in words is "five hundred thirteen million, one hundred thirty-one thousand, two hundred".