13528897767225 has 45 divisors (see below), whose sum is σ = 25060501920157. Its totient is φ = 7215323866560.

The previous prime is 13528897767199. The next prime is 13528897767227. The reversal of 13528897767225 is 52276779882531.

It is a happy number.

The square root of 13528897767225 is 3678165.

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

13528897767225 is a `hidden beast` number, since 1 + 3 + 528 + 8 + 9 + 7 + 7 + 6 + 72 + 25 = 666.

13528897767225 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 2590770310569 + 10938127456656 = 1609587^2 + 3307284^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-13528897767225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13528897767227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 165476557 + ... + 165558293.

Almost surely, 2^{13528897767225} is an apocalyptic number.

13528897767225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13528897767225 is the 3678165-th square number.

13528897767225 is the 1839083-rd centered octagonal number.

It is an amenable number.

13528897767225 is a deficient number, since it is larger than the sum of its proper divisors (11531604152932).

13528897767225 is an frugal number, since it uses more digits than its factorization.

13528897767225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163496 (or 81745 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 72.

The spelling of 13528897767225 in words is "thirteen trillion, five hundred twenty-eight billion, eight hundred ninety-seven million, seven hundred sixty-seven thousand, two hundred twenty-five".