200516512 has 48 divisors (see below), whose sum is σ = 455680512. Its totient is φ = 85075200.

The previous prime is 200516467. The next prime is 200516531. The reversal of 200516512 is 215615002.

It is a super-2 number, since 2×200516512² = 80413743169292288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18193 + ... + 27055.

It is an arithmetic number, because the mean of its divisors is an integer number (9493344).

Almost surely, 2^200516512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227840256).

200516512 is an abundant number, since it is smaller than the sum of its proper divisors (255164000).

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

200516512 is a wasteful number, since it uses less digits than its factorization.

200516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 200516512 is about 14160.3853054922. The cubic root of 200516512 is about 585.3065449672.

The spelling of 200516512 in words is "two hundred million, five hundred sixteen thousand, five hundred twelve".