52133200 has 120 divisors (see below), whose sum is σ = 146810048. Its totient is φ = 17418240.

The previous prime is 52133183. The next prime is 52133233. The reversal of 52133200 is 233125.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 120184 + ... + 120616.

Almost surely, 2^52133200 is an apocalyptic number.

52133200 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 52133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73405024).

52133200 is an abundant number, since it is smaller than the sum of its proper divisors (94676848).

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

52133200 is a wasteful number, since it uses less digits than its factorization.

52133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 52133200 is about 7220.3324023205. The cubic root of 52133200 is about 373.5695429779.

Adding to 52133200 its reverse (233125), we get a palindrome (52366325).

The spelling of 52133200 in words is "fifty-two million, one hundred thirty-three thousand, two hundred".