513255200 has 72 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 204166400.

The previous prime is 513255161. The next prime is 513255203. The reversal of 513255200 is 2552315.

It is not an unprimeable number, because it can be changed into a prime (513255203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151121 + ... + 154479.

It is an arithmetic number, because the mean of its divisors is an integer number (17498880).

Almost surely, 2^513255200 is an apocalyptic number.

513255200 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 513255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

513255200 is an abundant number, since it is smaller than the sum of its proper divisors (746664160).

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

513255200 is a wasteful number, since it uses less digits than its factorization.

513255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 513255200 is about 22655.1362829712. The cubic root of 513255200 is about 800.6532164901.

The spelling of 513255200 in words is "five hundred thirteen million, two hundred fifty-five thousand, two hundred".