12564365829107 has 2 divisors, whose sum is σ = 12564365829108. Its totient is φ = 12564365829106.

The previous prime is 12564365829061. The next prime is 12564365829131. The reversal of 12564365829107 is 70192856346521.

It is a strong prime.

It is an emirp because it is prime and its reverse (70192856346521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12564365829107 - 2¹⁴ = 12564365812723 is a prime.

It is not a weakly prime, because it can be changed into another prime (12564365829157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6282182914553 + 6282182914554.

It is an arithmetic number, because the mean of its divisors is an integer number (6282182914554).

It is a 1-persistent number, because it is pandigital, but 2⋅12564365829107 = 25128731658214 is not.

Almost surely, 2^{12564365829107} is an apocalyptic number.

12564365829107 is a deficient number, since it is larger than the sum of its proper divisors (1).

12564365829107 is an equidigital number, since it uses as much as digits as its factorization.

12564365829107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21772800, while the sum is 59.

The spelling of 12564365829107 in words is "twelve trillion, five hundred sixty-four billion, three hundred sixty-five million, eight hundred twenty-nine thousand, one hundred seven".