52517 has 2 divisors, whose sum is σ = 52518. Its totient is φ = 52516.

The previous prime is 52511. The next prime is 52529. The reversal of 52517 is 71525.

52517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43681 + 8836 = 209^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 52517 - 2⁴ = 52501 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52517.

It is not a weakly prime, because it can be changed into another prime (52511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26258 + 26259.

It is an arithmetic number, because the mean of its divisors is an integer number (26259).

2⁵²⁵¹⁷ is an apocalyptic number.

It is an amenable number.

52517 is a deficient number, since it is larger than the sum of its proper divisors (1).

52517 is an equidigital number, since it uses as much as digits as its factorization.

52517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 350, while the sum is 20.

The square root of 52517 is about 229.1658787865. The cubic root of 52517 is about 37.4484031136.

The spelling of 52517 in words is "fifty-two thousand, five hundred seventeen".