52059 has 16 divisors (see below), whose sum is σ = 82688. Its totient is φ = 28512.

The previous prime is 52057. The next prime is 52067. The reversal of 52059 is 95025.

It is not a de Polignac number, because 52059 - 2¹ = 52057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

52059 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52051) 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, 744 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (5168).

2⁵²⁰⁵⁹ is an apocalyptic number.

52059 is a deficient number, since it is larger than the sum of its proper divisors (30629).

52059 is a wasteful number, since it uses less digits than its factorization.

52059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

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

The square root of 52059 is about 228.1644144033. The cubic root of 52059 is about 37.3392227812.

The spelling of 52059 in words is "fifty-two thousand, fifty-nine".