52180 has 12 divisors (see below), whose sum is σ = 109620. Its totient is φ = 20864.

The previous prime is 52177. The next prime is 52181. The reversal of 52180 is 8125.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 30276 = 148^2 + 174^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52181) 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, 1285 + ... + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (9135).

2⁵²¹⁸⁰ is an apocalyptic number.

It is an amenable number.

52180 is an abundant number, since it is smaller than the sum of its proper divisors (57440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54810).

52180 is a wasteful number, since it uses less digits than its factorization.

52180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 52180 is about 228.4294201717. The cubic root of 52180 is about 37.3681294067.

It can be divided in two parts, 52 and 180, that added together give a palindrome (232).

The spelling of 52180 in words is "fifty-two thousand, one hundred eighty".