41755533555809 has 2 divisors, whose sum is σ = 41755533555810. Its totient is φ = 41755533555808.

The previous prime is 41755533555779. The next prime is 41755533555833. The reversal of 41755533555809 is 90855533555714.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34025020611409 + 7730512944400 = 5833097^2 + 2780380^2 .

It is a cyclic number.

It is not a de Polignac number, because 41755533555809 - 2²⁸ = 41755265120353 is a prime.

It is not a weakly prime, because it can be changed into another prime (41755533557809) 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, 20877766777904 + 20877766777905.

It is an arithmetic number, because the mean of its divisors is an integer number (20877766777905).

Almost surely, 2^{41755533555809} is an apocalyptic number.

It is an amenable number.

41755533555809 is a deficient number, since it is larger than the sum of its proper divisors (1).

41755533555809 is an equidigital number, since it uses as much as digits as its factorization.

41755533555809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 283500000, while the sum is 65.

The spelling of 41755533555809 in words is "forty-one trillion, seven hundred fifty-five billion, five hundred thirty-three million, five hundred fifty-five thousand, eight hundred nine".