513200000 has 96 divisors (see below), whose sum is σ = 1278902520. Its totient is φ = 205120000.

The previous prime is 513199991. The next prime is 513200021. The reversal of 513200000 is 2315.

It is a congruent number.

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, 399359 + ... + 400641.

Almost surely, 2^513200000 is an apocalyptic number.

513200000 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 513200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639451260).

513200000 is an abundant number, since it is smaller than the sum of its proper divisors (765702520).

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

513200000 is an frugal number, since it uses more digits than its factorization.

513200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 513200000 is about 22653.9179834306. The cubic root of 513200000 is about 800.6245123535.

Adding to 513200000 its reverse (2315), we get a palindrome (513202315).

The spelling of 513200000 in words is "five hundred thirteen million, two hundred thousand".