26513 has 2 divisors, whose sum is σ = 26514. Its totient is φ = 26512.

The previous prime is 26501. The next prime is 26539. The reversal of 26513 is 31562.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18769 + 7744 = 137^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 26513 - 2⁴ = 26497 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 26491 and 26500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13256 + 13257.

It is an arithmetic number, because the mean of its divisors is an integer number (13257).

2²⁶⁵¹³ is an apocalyptic number.

It is an amenable number.

26513 is a deficient number, since it is larger than the sum of its proper divisors (1).

26513 is an equidigital number, since it uses as much as digits as its factorization.

26513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 180, while the sum is 17.

The square root of 26513 is about 162.8281302478. The cubic root of 26513 is about 29.8185341814.

The spelling of 26513 in words is "twenty-six thousand, five hundred thirteen".