52520 has 32 divisors (see below), whose sum is σ = 128520. Its totient is φ = 19200.

The previous prime is 52517. The next prime is 52529. The reversal of 52520 is 2525.

It can be written as a sum of positive squares in 4 ways, for example, as 45796 + 6724 = 214^2 + 82^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52495 and 52504.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52520.

It is not an unprimeable number, because it can be changed into a prime (52529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 570.

2⁵²⁵²⁰ 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 52520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64260).

52520 is an abundant number, since it is smaller than the sum of its proper divisors (76000).

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

52520 is a wasteful number, since it uses less digits than its factorization.

52520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 52520 is about 229.1724241701. The cubic root of 52520 is about 37.4491161720.

It can be divided in two parts, 525 and 20, that added together give a palindrome (545).

The spelling of 52520 in words is "fifty-two thousand, five hundred twenty".