52533200 has 60 divisors (see below), whose sum is σ = 128339628. Its totient is φ = 20659200.

The previous prime is 52533199. The next prime is 52533211. The reversal of 52533200 is 233525.

It can be written as a sum of positive squares in 6 ways, for example, as 21752896 + 30780304 = 4664^2 + 5548^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 23324 + ... + 25476.

Almost surely, 2^52533200 is an apocalyptic number.

52533200 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 52533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64169814).

52533200 is an abundant number, since it is smaller than the sum of its proper divisors (75806428).

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

52533200 is a wasteful number, since it uses less digits than its factorization.

52533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 52533200 is about 7247.9790286672. The cubic root of 52533200 is about 374.5225330663.

Adding to 52533200 its reverse (233525), we get a palindrome (52766725).

The spelling of 52533200 in words is "fifty-two million, five hundred thirty-three thousand, two hundred".