13008522401 has 24 divisors (see below), whose sum is σ = 15356843784. Its totient is φ = 10985103360.

The previous prime is 13008522391. The next prime is 13008522421. The reversal of 13008522401 is 10422580031.

It can be written as a sum of positive squares in 4 ways, for example, as 8486094400 + 4522428001 = 92120^2 + 67249^2 .

It is not a de Polignac number, because 13008522401 - 2¹⁰ = 13008521377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13008522421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4723841 + ... + 4726593.

It is an arithmetic number, because the mean of its divisors is an integer number (639868491).

Almost surely, 2^13008522401 is an apocalyptic number.

It is an amenable number.

13008522401 is a deficient number, since it is larger than the sum of its proper divisors (2348321383).

13008522401 is a wasteful number, since it uses less digits than its factorization.

13008522401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 13008522401 in words is "thirteen billion, eight million, five hundred twenty-two thousand, four hundred one".