5259 has 4 divisors (see below), whose sum is σ = 7016. Its totient is φ = 3504.

The previous prime is 5237. The next prime is 5261. The reversal of 5259 is 9525.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 5259 - 2⁵ = 5227 is a prime.

It is a d-powerful number, because it can be written as 5 + 5⁵ + 2¹¹ + 9² .

It is a D-number.

It is a Duffinian number.

5259 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 874 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (1754).

2⁵²⁵⁹ is an apocalyptic number.

5259 is a deficient number, since it is larger than the sum of its proper divisors (1757).

5259 is a wasteful number, since it uses less digits than its factorization.

5259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756.

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

The square root of 5259 is about 72.5189630373. The cubic root of 5259 is about 17.3900590594.

It can be divided in two parts, 52 and 59, that added together give a palindrome (111).

The spelling of 5259 in words is "five thousand, two hundred fifty-nine".