5132800 has 60 divisors (see below), whose sum is σ = 12748626. Its totient is φ = 2048000.

The previous prime is 5132773. The next prime is 5132821. The reversal of 5132800 is 82315.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4946176 + 186624 = 2224^2 + 432^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12600 + ... + 13000.

Almost surely, 2^5132800 is an apocalyptic number.

5132800 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 5132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374313).

5132800 is an abundant number, since it is smaller than the sum of its proper divisors (7615826).

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

5132800 is an equidigital number, since it uses as much as digits as its factorization.

5132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5132800 is about 2265.5683613610. The cubic root of 5132800 is about 172.4982846570.

The spelling of 5132800 in words is "five million, one hundred thirty-two thousand, eight hundred".