13005613 has 4 divisors (see below), whose sum is σ = 13055328. Its totient is φ = 12955900.

The previous prime is 13005599. The next prime is 13005623. The reversal of 13005613 is 31650031.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13005613 - 2⁵ = 13005581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24463 + ... + 24988.

It is an arithmetic number, because the mean of its divisors is an integer number (3263832).

Almost surely, 2^13005613 is an apocalyptic number.

It is an amenable number.

13005613 is a deficient number, since it is larger than the sum of its proper divisors (49715).

13005613 is an equidigital number, since it uses as much as digits as its factorization.

13005613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49714.

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

The square root of 13005613 is about 3606.3295745120. The cubic root of 13005613 is about 235.1673050350.

Adding to 13005613 its reverse (31650031), we get a palindrome (44655644).

The spelling of 13005613 in words is "thirteen million, five thousand, six hundred thirteen".