13581207167 has 16 divisors (see below), whose sum is σ = 15300264960. Its totient is φ = 11943220800.

The previous prime is 13581207151. The next prime is 13581207203. The reversal of 13581207167 is 76170218531.

It is a happy number.

13581207167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13581207167 - 2⁴ = 13581207151 is a prime.

It is a super-2 number, since 2×13581207167² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13581207127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962459 + ... + 976467.

It is an arithmetic number, because the mean of its divisors is an integer number (956266560).

Almost surely, 2^13581207167 is an apocalyptic number.

13581207167 is a deficient number, since it is larger than the sum of its proper divisors (1719057793).

13581207167 is a wasteful number, since it uses less digits than its factorization.

13581207167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16894.

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 13581207167 in words is "thirteen billion, five hundred eighty-one million, two hundred seven thousand, one hundred sixty-seven".