13055105844225 has 135 divisors (see below), whose sum is σ = 25286942145619. Its totient is φ = 6658088263200.

The previous prime is 13055105844223. The next prime is 13055105844239. The reversal of 13055105844225 is 52244850155031.

The square root of 13055105844225 is 3613185.

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

13055105844225 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 5 + 1 + 0 + 584 + 42 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4699838103921 + 8355267740304 = 2167911^2 + 2890548^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 13055105844225 - 2¹ = 13055105844223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13055105844223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3739644730 + ... + 3739648220.

Almost surely, 2^{13055105844225} is an apocalyptic number.

13055105844225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13055105844225 is the 3613185-th square number.

13055105844225 is the 1806593-rd centered octagonal number.

It is an amenable number.

13055105844225 is a deficient number, since it is larger than the sum of its proper divisors (12231836301394).

13055105844225 is an frugal number, since it uses more digits than its factorization.

13055105844225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

Adding to 13055105844225 its reverse (52244850155031), we get a palindrome (65299955999256).

The spelling of 13055105844225 in words is "thirteen trillion, fifty-five billion, one hundred five million, eight hundred forty-four thousand, two hundred twenty-five".