52133920 has 48 divisors (see below), whose sum is σ = 123984000. Its totient is φ = 20715264.

The previous prime is 52133869. The next prime is 52133923. The reversal of 52133920 is 2933125.

52133920 = T₂₀₅ + T₂₀₆ + ... + T₆₈₄.

It is a happy number.

It is a super-2 number, since 2×52133920² = 5435891229132800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52133923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25081 + ... + 27079.

It is an arithmetic number, because the mean of its divisors is an integer number (2583000).

Almost surely, 2^52133920 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 52133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61992000).

52133920 is an abundant number, since it is smaller than the sum of its proper divisors (71850080).

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

52133920 is a wasteful number, since it uses less digits than its factorization.

52133920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 52133920 is about 7220.3822613488. The cubic root of 52133920 is about 373.5712627319.

The spelling of 52133920 in words is "fifty-two million, one hundred thirty-three thousand, nine hundred twenty".