13008961 has 32 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 9934848.

The previous prime is 13008949. The next prime is 13008971. The reversal of 13008961 is 16980031.

It is a happy number.

It is not a de Polignac number, because 13008961 - 2⁵ = 13008929 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134065 + ... + 134161.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^13008961 is an apocalyptic number.

It is an amenable number.

13008961 is a deficient number, since it is larger than the sum of its proper divisors (3925439).

13008961 is an equidigital number, since it uses as much as digits as its factorization.

13008961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 13008961 is about 3606.7937285074. The cubic root of 13008961 is about 235.1874827995.

Adding to 13008961 its reverse (16980031), we get a palindrome (29988992).

The spelling of 13008961 in words is "thirteen million, eight thousand, nine hundred sixty-one".