41306126563553 has 2 divisors, whose sum is σ = 41306126563554. Its totient is φ = 41306126563552.

The previous prime is 41306126563529. The next prime is 41306126563571. The reversal of 41306126563553 is 35536562160314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37560326307904 + 3745800255649 = 6128648^2 + 1935407^2 .

It is a cyclic number.

It is not a de Polignac number, because 41306126563553 - 2¹⁶ = 41306126498017 is a prime.

It is not a weakly prime, because it can be changed into another prime (41306126563153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20653063281776 + 20653063281777.

It is an arithmetic number, because the mean of its divisors is an integer number (20653063281777).

Almost surely, 2^{41306126563553} is an apocalyptic number.

It is an amenable number.

41306126563553 is a deficient number, since it is larger than the sum of its proper divisors (1).

41306126563553 is an equidigital number, since it uses as much as digits as its factorization.

41306126563553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832000, while the sum is 50.

The spelling of 41306126563553 in words is "forty-one trillion, three hundred six billion, one hundred twenty-six million, five hundred sixty-three thousand, five hundred fifty-three".