513064200 has 288 divisors, whose sum is σ = 1804884480. Its totient is φ = 120384000.

The previous prime is 513064187. The next prime is 513064217. The reversal of 513064200 is 2460315.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2686105 + ... + 2686295.

It is an arithmetic number, because the mean of its divisors is an integer number (6266960).

Almost surely, 2^513064200 is an apocalyptic number.

513064200 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 513064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902442240).

513064200 is an abundant number, since it is smaller than the sum of its proper divisors (1291820280).

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

513064200 is a wasteful number, since it uses less digits than its factorization.

513064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 513064200 is about 22650.9205110962. The cubic root of 513064200 is about 800.5538872560.

The spelling of 513064200 in words is "five hundred thirteen million, sixty-four thousand, two hundred".