52580 has 24 divisors (see below), whose sum is σ = 120960. Its totient is φ = 19040.

The previous prime is 52579. The next prime is 52583. The reversal of 52580 is 8525.

52580 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 (20).

It is not an unprimeable number, because it can be changed into a prime (52583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵²⁵⁸⁰ 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 52580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

52580 is an abundant number, since it is smaller than the sum of its proper divisors (68380).

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

52580 is a wasteful number, since it uses less digits than its factorization.

52580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 52580 is about 229.3032926061. The cubic root of 52580 is about 37.4633716421.

The spelling of 52580 in words is "fifty-two thousand, five hundred eighty".