52566200 has 48 divisors (see below), whose sum is σ = 122700480. Its totient is φ = 20943360.

The previous prime is 52566181. The next prime is 52566203. The reversal of 52566200 is 266525.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52566200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52566203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86297 + ... + 86903.

It is an arithmetic number, because the mean of its divisors is an integer number (2556260).

Almost surely, 2^52566200 is an apocalyptic number.

52566200 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 52566200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61350240).

52566200 is an abundant number, since it is smaller than the sum of its proper divisors (70134280).

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

52566200 is a wasteful number, since it uses less digits than its factorization.

52566200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 52566200 is about 7250.2551679234. The cubic root of 52566200 is about 374.6009384466.

The spelling of 52566200 in words is "fifty-two million, five hundred sixty-six thousand, two hundred".