13875565400041 has 2 divisors, whose sum is σ = 13875565400042. Its totient is φ = 13875565400040.

The previous prime is 13875565400023. The next prime is 13875565400077. The reversal of 13875565400041 is 14000456557831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13847173150041 + 28392250000 = 3721179^2 + 168500^2 .

It is a cyclic number.

It is not a de Polignac number, because 13875565400041 - 2¹⁷ = 13875565268969 is a prime.

It is not a weakly prime, because it can be changed into another prime (13875565400141) 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 as a sum of consecutive naturals, namely, 6937782700020 + 6937782700021.

It is an arithmetic number, because the mean of its divisors is an integer number (6937782700021).

Almost surely, 2^{13875565400041} is an apocalyptic number.

It is an amenable number.

13875565400041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13875565400041 is an equidigital number, since it uses as much as digits as its factorization.

13875565400041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 13875565400041 in words is "thirteen trillion, eight hundred seventy-five billion, five hundred sixty-five million, four hundred thousand, forty-one".