13634065225 has 45 divisors (see below), whose sum is σ = 18693604965. Its totient is φ = 9864307200.

The previous prime is 13634065223. The next prime is 13634065231. The reversal of 13634065225 is 52256043631.

The square root of 13634065225 is 116765.

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

13634065225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2192767929 + 11441297296 = 46827^2 + 106964^2 .

It is not a de Polignac number, because 13634065225 - 2¹ = 13634065223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13634065223) 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 44 ways as a sum of consecutive naturals, for example, 70642729 + ... + 70642921.

Almost surely, 2^13634065225 is an apocalyptic number.

13634065225 is the 116765-th square number.

13634065225 is the 58383-rd centered octagonal number.

It is an amenable number.

13634065225 is a deficient number, since it is larger than the sum of its proper divisors (5059539740).

13634065225 is an frugal number, since it uses more digits than its factorization.

13634065225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

It can be divided in two parts, 1363406 and 5225, that added together give a palindrome (1368631).

The spelling of 13634065225 in words is "thirteen billion, six hundred thirty-four million, sixty-five thousand, two hundred twenty-five".