51152 has 20 divisors (see below), whose sum is σ = 104160. Its totient is φ = 24288.

The previous prime is 51151. The next prime is 51157. The reversal of 51152 is 25115.

51152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51152.

It is not an unprimeable number, because it can be changed into a prime (51151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁵¹¹⁵² 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 51152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

51152 is an abundant number, since it is smaller than the sum of its proper divisors (53008).

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

51152 is a wasteful number, since it uses less digits than its factorization.

51152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its digits is 50, while the sum is 14.

The square root of 51152 is about 226.1680790916. The cubic root of 51152 is about 37.1211030687.

Adding to 51152 its reverse (25115), we get a palindrome (76267).

The spelling of 51152 in words is "fifty-one thousand, one hundred fifty-two".