12765107063241 has 195 divisors, whose sum is σ = 21483178854371. Its totient is φ = 7584572896992.

The previous prime is 12765107063239. The next prime is 12765107063309. The reversal of 12765107063241 is 14236070156721.

The square root of 12765107063241 is 3572829.

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

12765107063241 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 5 + 1 + 0 + 7 + 0 + 632 + 4 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 12754690819641 + 10416243600 = 3571371^2 + 102060^2 .

It is not a de Polignac number, because 12765107063241 - 2¹ = 12765107063239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12765107063641) by changing a digit.

It is a polite number, since it can be written in 194 ways as a sum of consecutive naturals, for example, 440176105615 + ... + 440176105643.

Almost surely, 2^{12765107063241} is an apocalyptic number.

12765107063241 is the 3572829-th square number.

12765107063241 is the 1786415-th centered octagonal number.

It is an amenable number.

12765107063241 is a deficient number, since it is larger than the sum of its proper divisors (8718071791130).

12765107063241 is an frugal number, since it uses more digits than its factorization.

12765107063241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12765107063241 in words is "twelve trillion, seven hundred sixty-five billion, one hundred seven million, sixty-three thousand, two hundred forty-one".