52955136 has 216 divisors, whose sum is σ = 175356090. Its totient is φ = 15335424.

The previous prime is 52955129. The next prime is 52955159. The reversal of 52955136 is 63155925.

52955136 is a `hidden beast` number, since 52 + 95 + 513 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 34292736 + 18662400 = 5856^2 + 4320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52955136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3115000 + ... + 3115016.

Almost surely, 2^52955136 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 52955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87678045).

52955136 is an abundant number, since it is smaller than the sum of its proper divisors (122400954).

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

52955136 is a wasteful number, since it uses less digits than its factorization.

52955136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 52955136 is about 7277.0279647669. The cubic root of 52955136 is about 375.5225568201.

The spelling of 52955136 in words is "fifty-two million, nine hundred fifty-five thousand, one hundred thirty-six".