13279105225 has 27 divisors (see below), whose sum is σ = 17392677813. Its totient is φ = 10055867040.

The previous prime is 13279105207. The next prime is 13279105237. The reversal of 13279105225 is 52250197231.

It is a happy number.

The square root of 13279105225 is 115235.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5825200329 + 7453904896 = 76323^2 + 86336^2 .

It is not a de Polignac number, because 13279105225 - 2⁵ = 13279105193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10946719 + ... + 10947931.

Almost surely, 2^13279105225 is an apocalyptic number.

13279105225 is the 115235-th square number.

13279105225 is the 57618-th centered octagonal number.

It is an amenable number.

13279105225 is a deficient number, since it is larger than the sum of its proper divisors (4113572588).

13279105225 is an frugal number, since it uses more digits than its factorization.

13279105225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 13279105225 in words is "thirteen billion, two hundred seventy-nine million, one hundred five thousand, two hundred twenty-five".