52133120 has 108 divisors (see below), whose sum is σ = 135780876. Its totient is φ = 19169280.

The previous prime is 52133113. The next prime is 52133129. The reversal of 52133120 is 2133125.

It can be written as a sum of positive squares in 6 ways, for example, as 5456896 + 46676224 = 2336^2 + 6832^2 .

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52133129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216200 + ... + 216440.

Almost surely, 2^52133120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67890438).

52133120 is an abundant number, since it is smaller than the sum of its proper divisors (83647756).

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

52133120 is a wasteful number, since it uses less digits than its factorization.

52133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 52133120 is about 7220.3268624073. The cubic root of 52133120 is about 373.5693518932.

Adding to 52133120 its reverse (2133125), we get a palindrome (54266245).

The spelling of 52133120 in words is "fifty-two million, one hundred thirty-three thousand, one hundred twenty".