13766363193025 has 27 divisors (see below), whose sum is σ = 17208705637731. Its totient is φ = 10924503312240.

The previous prime is 13766363192993. The next prime is 13766363193061. The reversal of 13766363193025 is 52039136366731.

The square root of 13766363193025 is 3710305.

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., 4955890749489 + 8810472443536 = 2226183^2 + 2968244^2 .

It is not a de Polignac number, because 13766363193025 - 2⁵ = 13766363192993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2356040754 + ... + 2356046596.

Almost surely, 2^{13766363193025} is an apocalyptic number.

13766363193025 is the 3710305-th square number.

13766363193025 is the 1855153-rd centered octagonal number.

It is an amenable number.

13766363193025 is a deficient number, since it is larger than the sum of its proper divisors (3442342444706).

13766363193025 is an frugal number, since it uses more digits than its factorization.

13766363193025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 55.

The spelling of 13766363193025 in words is "thirteen trillion, seven hundred sixty-six billion, three hundred sixty-three million, one hundred ninety-three thousand, twenty-five".