135613 has 2 divisors, whose sum is σ = 135614. Its totient is φ = 135612.

The previous prime is 135607. The next prime is 135617. The reversal of 135613 is 316531.

135613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131769 + 3844 = 363^2 + 62^2 .

It is an emirp because it is prime and its reverse (316531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135613 - 2⁵ = 135581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67806 + 67807.

It is an arithmetic number, because the mean of its divisors is an integer number (67807).

2¹³⁵⁶¹³ is an apocalyptic number.

It is an amenable number.

135613 is a deficient number, since it is larger than the sum of its proper divisors (1).

135613 is an equidigital number, since it uses as much as digits as its factorization.

135613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 19.

The square root of 135613 is about 368.2567039444. The cubic root of 135613 is about 51.3768067475.

It can be divided in two parts, 1356 and 13, that added together give a square (1369 = 37²).

The spelling of 135613 in words is "one hundred thirty-five thousand, six hundred thirteen".