13085601 has 16 divisors (see below), whose sum is σ = 17998848. Its totient is φ = 8451200.

The previous prime is 13085561. The next prime is 13085603. The reversal of 13085601 is 10658031.

It is a cyclic number.

It is not a de Polignac number, because 13085601 - 2⁹ = 13085089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13085603) 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 15 ways as a sum of consecutive naturals, for example, 23215 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^13085601 is an apocalyptic number.

It is an amenable number.

13085601 is a deficient number, since it is larger than the sum of its proper divisors (4913247).

13085601 is a wasteful number, since it uses less digits than its factorization.

13085601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 13085601 is about 3617.4025211469. The cubic root of 13085601 is about 235.6484339725.

The spelling of 13085601 in words is "thirteen million, eighty-five thousand, six hundred one".