52132800 has 84 divisors (see below), whose sum is σ = 171054776. Its totient is φ = 13900800.

The previous prime is 52132783. The next prime is 52132819. The reversal of 52132800 is 823125.

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, 631 + ... + 10230.

Almost surely, 2^52132800 is an apocalyptic number.

52132800 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 52132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85527388).

52132800 is an abundant number, since it is smaller than the sum of its proper divisors (118921976).

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

52132800 is a wasteful number, since it uses less digits than its factorization.

52132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 52132800 is about 7220.3047027117. The cubic root of 52132800 is about 373.5685875522.

Adding to 52132800 its reverse (823125), we get a palindrome (52955925).

The spelling of 52132800 in words is "fifty-two million, one hundred thirty-two thousand, eight hundred".