53152 has 24 divisors (see below), whose sum is σ = 114912. Its totient is φ = 24000.

The previous prime is 53149. The next prime is 53161. The reversal of 53152 is 25135.

53152 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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

2⁵³¹⁵² 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 53152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456).

53152 is an abundant number, since it is smaller than the sum of its proper divisors (61760).

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

53152 is a wasteful number, since it uses less digits than its factorization.

53152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 150, while the sum is 16.

The square root of 53152 is about 230.5471752158. The cubic root of 53152 is about 37.5987324154.

Adding to 53152 its reverse (25135), we get a palindrome (78287).

The spelling of 53152 in words is "fifty-three thousand, one hundred fifty-two".