52509 has 8 divisors (see below), whose sum is σ = 73152. Its totient is φ = 33440.

The previous prime is 52501. The next prime is 52511. The reversal of 52509 is 90525.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 52509 - 2³ = 52501 is a prime.

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

It is a Curzon number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 312 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (9144).

2⁵²⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

52509 is a deficient number, since it is larger than the sum of its proper divisors (20643).

52509 is a wasteful number, since it uses less digits than its factorization.

52509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 52509 is about 229.1484235163. The cubic root of 52509 is about 37.4465014917.

It can be divided in two parts, 52 and 509, that added together give a triangular number (561 = T₃₃).

The spelling of 52509 in words is "fifty-two thousand, five hundred nine".