12565103683441 has 9 divisors (see below), whose sum is σ = 12662220643513. Its totient is φ = 12468726046660.

The previous prime is 12565103683409. The next prime is 12565103683471. The reversal of 12565103683441 is 14438630156521.

The square root of 12565103683441 is 3544729.

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

It is not a de Polignac number, because 12565103683441 - 2⁵ = 12565103683409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12565103683471) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 464345970 + ... + 464373028.

Almost surely, 2^{12565103683441} is an apocalyptic number.

12565103683441 is the 3544729-th square number.

12565103683441 is the 1772365-th centered octagonal number.

It is an amenable number.

12565103683441 is a deficient number, since it is larger than the sum of its proper divisors (97116960072).

12565103683441 is an frugal number, since it uses more digits than its factorization.

12565103683441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54380 (or 27190 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 12565103683441 by its sum of digits (49), we get a square (615690080488609 = 24813103²).

The spelling of 12565103683441 in words is "twelve trillion, five hundred sixty-five billion, one hundred three million, six hundred eighty-three thousand, four hundred forty-one".