52531200 has 312 divisors, whose sum is σ = 203136800. Its totient is φ = 13271040.

The previous prime is 52531189. The next prime is 52531247. The reversal of 52531200 is 213525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764791 + ... + 2764809.

Almost surely, 2^52531200 is an apocalyptic number.

52531200 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 52531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101568400).

52531200 is an abundant number, since it is smaller than the sum of its proper divisors (150605600).

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

52531200 is a wasteful number, since it uses less digits than its factorization.

52531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52531200 is about 7247.8410578599. The cubic root of 52531200 is about 374.5177801699.

Adding to 52531200 its reverse (213525), we get a palindrome (52744725).

The spelling of 52531200 in words is "fifty-two million, five hundred thirty-one thousand, two hundred".