11259 has 10 divisors (see below), whose sum is σ = 16940. Its totient is φ = 7452.

The previous prime is 11257. The next prime is 11261. The reversal of 11259 is 95211.

It is an interprime number because it is at equal distance from previous prime (11257) and next prime (11261).

It is not a de Polignac number, because 11259 - 2¹ = 11257 is a prime.

It is a Duffinian number.

11259 is a lucky number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (1694).

11259 is a Friedman number, since it can be written as 1251*9, using all its digits and the basic arithmetic operations.

2¹¹²⁵⁹ is an apocalyptic number.

11259 is a deficient number, since it is larger than the sum of its proper divisors (5681).

11259 is an equidigital number, since it uses as much as digits as its factorization.

11259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 11259 is about 106.1084351030. The cubic root of 11259 is about 22.4129973464.

It can be divided in two parts, 112 and 59, that added together give a palindrome (171).

The spelling of 11259 in words is "eleven thousand, two hundred fifty-nine".