520561800 has 288 divisors, whose sum is σ = 1942911360. Its totient is φ = 123840000.

The previous prime is 520561799. The next prime is 520561817. The reversal of 520561800 is 8165025.

520561800 is a `hidden beast` number, since 5 + 20 + 561 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 1207585 + ... + 1208015.

It is an arithmetic number, because the mean of its divisors is an integer number (6746220).

Almost surely, 2^520561800 is an apocalyptic number.

520561800 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 520561800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971455680).

520561800 is an abundant number, since it is smaller than the sum of its proper divisors (1422349560).

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

520561800 is a wasteful number, since it uses less digits than its factorization.

520561800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 520561800 is about 22815.8234565400. The cubic root of 520561800 is about 804.4346428391.

The spelling of 520561800 in words is "five hundred twenty million, five hundred sixty-one thousand, eight hundred".