513231200 has 72 divisors (see below), whose sum is σ = 1307447568. Its totient is φ = 196359680.

The previous prime is 513231193. The next prime is 513231203. The reversal of 513231200 is 2132315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513231203) 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, 4454 + ... + 32346.

It is an arithmetic number, because the mean of its divisors is an integer number (18158994).

Almost surely, 2^513231200 is an apocalyptic number.

513231200 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 513231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653723784).

513231200 is an abundant number, since it is smaller than the sum of its proper divisors (794216368).

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

513231200 is a wasteful number, since it uses less digits than its factorization.

513231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27936 (or 27923 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 513231200 is about 22654.6065955690. The cubic root of 513231200 is about 800.6407366836.

Adding to 513231200 its reverse (2132315), we get a palindrome (515363515).

The spelling of 513231200 in words is "five hundred thirteen million, two hundred thirty-one thousand, two hundred".