200513808 has 120 divisors (see below), whose sum is σ = 618621120. Its totient is φ = 60122880.

The previous prime is 200513779. The next prime is 200513837. The reversal of 200513808 is 808315002.

It is a happy number.

200513808 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200513779) and next prime (200513837).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162538 + ... + 163766.

It is an arithmetic number, because the mean of its divisors is an integer number (5155176).

Almost surely, 2^200513808 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 200513808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309310560).

200513808 is an abundant number, since it is smaller than the sum of its proper divisors (418107312).

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

200513808 is a wasteful number, since it uses less digits than its factorization.

200513808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 200513808 is about 14160.2898275424. The cubic root of 200513808 is about 585.3039139685.

The spelling of 200513808 in words is "two hundred million, five hundred thirteen thousand, eight hundred eight".