26013 has 16 divisors (see below), whose sum is σ = 40320. Its totient is φ = 14784.

The previous prime is 26003. The next prime is 26017. The reversal of 26013 is 31062.

It is not a de Polignac number, because 26013 - 2⁴ = 25997 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 26013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26017) 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, 883 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁶⁰¹³ is an apocalyptic number.

26013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

26013 is a deficient number, since it is larger than the sum of its proper divisors (14307).

26013 is a wasteful number, since it uses less digits than its factorization.

26013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 26013 is about 161.2854612171. The cubic root of 26013 is about 29.6298973548.

Adding to 26013 its reverse (31062), we get a palindrome (57075).

The spelling of 26013 in words is "twenty-six thousand, thirteen".