52566100 has 36 divisors (see below), whose sum is σ = 116859708. Its totient is φ = 20512000.

The previous prime is 52566083. The next prime is 52566119. The reversal of 52566100 is 166525.

It can be written as a sum of positive squares in 6 ways, for example, as 21696964 + 30869136 = 4658^2 + 5556^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2311 + ... + 10510.

It is an arithmetic number, because the mean of its divisors is an integer number (3246103).

Almost surely, 2^52566100 is an apocalyptic number.

52566100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52566100 is an abundant number, since it is smaller than the sum of its proper divisors (64293608).

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

52566100 is a wasteful number, since it uses less digits than its factorization.

52566100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 52566100 is about 7250.2482716111. The cubic root of 52566100 is about 374.6007009041.

The spelling of 52566100 in words is "fifty-two million, five hundred sixty-six thousand, one hundred".