13580072563225 has 81 divisors (see below), whose sum is σ = 19721360187711. Its totient is φ = 9249343840800.

The previous prime is 13580072563153. The next prime is 13580072563283. The reversal of 13580072563225 is 52236527008531.

The square root of 13580072563225 is 3685115.

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

It can be written as a sum of positive squares in only one way, i.e., 4888826122761 + 8691246440464 = 2211069^2 + 2948092^2 .

It is not a de Polignac number, because 13580072563225 - 2³³ = 13571482628633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27214574026 + ... + 27214574524.

Almost surely, 2^{13580072563225} is an apocalyptic number.

13580072563225 is the 3685115-th square number.

13580072563225 is the 1842558-th centered octagonal number.

It is an amenable number.

13580072563225 is a deficient number, since it is larger than the sum of its proper divisors (6141287624486).

13580072563225 is an frugal number, since it uses more digits than its factorization.

13580072563225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

Multiplying 13580072563225 by its sum of digits (49), we get a square (665423555598025 = 25795805²).

13580072563225 divided by its sum of digits (49) gives a square (277144338025 = 526445²).

The spelling of 13580072563225 in words is "thirteen trillion, five hundred eighty billion, seventy-two million, five hundred sixty-three thousand, two hundred twenty-five".