26313 has 12 divisors (see below), whose sum is σ = 41040. Its totient is φ = 14952.

The previous prime is 26309. The next prime is 26317. The reversal of 26313 is 31362.

It is an interprime number because it is at equal distance from previous prime (26309) and next prime (26317).

It is not a de Polignac number, because 26313 - 2² = 26309 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 6² + 3⁸ + 1 + 3⁹ .

It is a Curzon number.

26313 is a lucky number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 26292 and 26301.

It is not an unprimeable number, because it can be changed into a prime (26317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2²⁶³¹³ is an apocalyptic number.

It is an amenable number.

26313 is a deficient number, since it is larger than the sum of its proper divisors (14727).

26313 is a wasteful number, since it uses less digits than its factorization.

26313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 189 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 26313 is about 162.2128231676. The cubic root of 26313 is about 29.7433664564.

Adding to 26313 its reverse (31362), we get a palindrome (57675).

It can be divided in two parts, 263 and 13, that added together give a triangular number (276 = T₂₃).

The spelling of 26313 in words is "twenty-six thousand, three hundred thirteen".