52523 has 4 divisors (see below), whose sum is σ = 53568. Its totient is φ = 51480.

The previous prime is 52517. The next prime is 52529. The reversal of 52523 is 32525.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (52517) and next prime (52529).

It is a cyclic number.

It is not a de Polignac number, because 52523 - 2⁸ = 52267 is a prime.

It is a d-powerful number, because it can be written as 5² + 2¹² + 5⁶ + 2¹⁵ + 3² .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52529) 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, 443 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2⁵²⁵²³ is an apocalyptic number.

52523 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

52523 is a deficient number, since it is larger than the sum of its proper divisors (1045).

52523 is an equidigital number, since it uses as much as digits as its factorization.

52523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044.

The product of its digits is 300, while the sum is 17.

The square root of 52523 is about 229.1789693667. The cubic root of 52523 is about 37.4498292033.

It can be divided in two parts, 52 and 523, that added together give a palindrome (575).

The spelling of 52523 in words is "fifty-two thousand, five hundred twenty-three".