52521 has 16 divisors (see below), whose sum is σ = 83328. Its totient is φ = 28800.

The previous prime is 52517. The next prime is 52529. The reversal of 52521 is 12525.

52521 is nontrivially palindromic in base 13.

52521 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 not a de Polignac number, because 52521 - 2² = 52517 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52521.

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 15 ways as a sum of consecutive naturals, for example, 831 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁵²⁵²¹ is an apocalyptic number.

It is an amenable number.

52521 is a deficient number, since it is larger than the sum of its proper divisors (30807).

52521 is a wasteful number, since it uses less digits than its factorization.

52521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its digits is 100, while the sum is 15.

The square root of 52521 is about 229.1746059231. The cubic root of 52521 is about 37.4493538522.

It can be divided in two parts, 5252 and 1, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 52521 in words is "fifty-two thousand, five hundred twenty-one".