13005261 has 12 divisors (see below), whose sum is σ = 19094140. Its totient is φ = 8527680.

The previous prime is 13005259. The next prime is 13005263. The reversal of 13005261 is 16250031.

13005261 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13005259) and next prime (13005263).

It can be written as a sum of positive squares in 2 ways, for example, as 367236 + 12638025 = 606^2 + 3555^2 .

It is not a de Polignac number, because 13005261 - 2¹ = 13005259 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 (13005263) 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 11 ways as a sum of consecutive naturals, for example, 11296 + ... + 12393.

Almost surely, 2^13005261 is an apocalyptic number.

It is an amenable number.

13005261 is a deficient number, since it is larger than the sum of its proper divisors (6088879).

13005261 is a wasteful number, since it uses less digits than its factorization.

13005261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23756 (or 23753 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13005261 is about 3606.2807710992. The cubic root of 13005261 is about 235.1651833963.

Adding to 13005261 its reverse (16250031), we get a palindrome (29255292).

It can be divided in two parts, 1300 and 5261, that added together give a 8-th power (6561 = 3⁸).

The spelling of 13005261 in words is "thirteen million, five thousand, two hundred sixty-one".