513065200 has 60 divisors (see below), whose sum is σ = 1243657008. Its totient is φ = 203392000.

The previous prime is 513065197. The next prime is 513065213. The reversal of 513065200 is 2560315.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 39525 + ... + 50875.

Almost surely, 2^513065200 is an apocalyptic number.

513065200 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 513065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621828504).

513065200 is an abundant number, since it is smaller than the sum of its proper divisors (730591808).

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

513065200 is a wasteful number, since it uses less digits than its factorization.

513065200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11482 (or 11471 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 513065200 is about 22650.9425852436. The cubic root of 513065200 is about 800.5544073685.

The spelling of 513065200 in words is "five hundred thirteen million, sixty-five thousand, two hundred".