52506 has 12 divisors (see below), whose sum is σ = 113802. Its totient is φ = 17496.

The previous prime is 52501. The next prime is 52511. The reversal of 52506 is 60525.

52506 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52501) and next prime (52511).

It can be written as a sum of positive squares in only one way, i.e., 27225 + 25281 = 165^2 + 159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 2917 = 52506 / (5 + 2 + 5 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (52501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1441 + ... + 1476.

2⁵²⁵⁰⁶ is an apocalyptic number.

52506 is an abundant number, since it is smaller than the sum of its proper divisors (61296).

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

52506 is a wasteful number, since it uses less digits than its factorization.

52506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52506 is about 229.1418774471. The cubic root of 52506 is about 37.4457883336.

The spelling of 52506 in words is "fifty-two thousand, five hundred six".