12565871884801 has 2 divisors, whose sum is σ = 12565871884802. Its totient is φ = 12565871884800.

The previous prime is 12565871884721. The next prime is 12565871884823. The reversal of 12565871884801 is 10848817856521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11221153340401 + 1344718544400 = 3349799^2 + 1159620^2 .

It is a cyclic number.

It is not a de Polignac number, because 12565871884801 - 2⁹ = 12565871884289 is a prime.

It is a super-2 number, since 2×12565871884801² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12565871824801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6282935942400 + 6282935942401.

It is an arithmetic number, because the mean of its divisors is an integer number (6282935942401).

Almost surely, 2^{12565871884801} is an apocalyptic number.

It is an amenable number.

12565871884801 is a deficient number, since it is larger than the sum of its proper divisors (1).

12565871884801 is an equidigital number, since it uses as much as digits as its factorization.

12565871884801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34406400, while the sum is 64.

The spelling of 12565871884801 in words is "twelve trillion, five hundred sixty-five billion, eight hundred seventy-one million, eight hundred eighty-four thousand, eight hundred one".