52809 has 8 divisors (see below), whose sum is σ = 72960. Its totient is φ = 33936.

The previous prime is 52807. The next prime is 52813. The reversal of 52809 is 90825.

52809 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 a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 52809 - 2¹ = 52807 is a prime.

It is a super-3 number, since 3×52809³ = 441819709533387, which contains 333 as substring.

It is a Curzon number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (52807) 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, 217 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (9120).

2⁵²⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

52809 is a deficient number, since it is larger than the sum of its proper divisors (20151).

52809 is a wasteful number, since it uses less digits than its factorization.

52809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 52809 is about 229.8020887634. The cubic root of 52809 is about 37.5176805515.

It can be divided in two parts, 52 and 809, that added together give a triangular number (861 = T₄₁).

The spelling of 52809 in words is "fifty-two thousand, eight hundred nine".