53507952 has 200 divisors, whose sum is σ = 170145360. Its totient is φ = 16174080.

The previous prime is 53507947. The next prime is 53507963. The reversal of 53507952 is 25970535.

53507952 = 88³ + 89³ + ... + 128³.

53507952 is a `hidden beast` number, since 535 + 0 + 79 + 52 = 666.

53507952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1009558 + ... + 1009610.

Almost surely, 2^53507952 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 53507952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85072680).

53507952 is an abundant number, since it is smaller than the sum of its proper divisors (116637408).

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

53507952 is a wasteful number, since it uses less digits than its factorization.

53507952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 53507952 is about 7314.9129864955. The cubic root of 53507952 is about 376.8247701676.

The spelling of 53507952 in words is "fifty-three million, five hundred seven thousand, nine hundred fifty-two".