41554523522033 has 2 divisors, whose sum is σ = 41554523522034. Its totient is φ = 41554523522032.

The previous prime is 41554523521937. The next prime is 41554523522051. The reversal of 41554523522033 is 33022532545514.

41554523522033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39155642957809 + 2398880564224 = 6257447^2 + 1548832^2 .

It is a cyclic number.

It is not a de Polignac number, because 41554523522033 - 2²² = 41554519327729 is a prime.

It is not a weakly prime, because it can be changed into another prime (41554525522033) 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, 20777261761016 + 20777261761017.

It is an arithmetic number, because the mean of its divisors is an integer number (20777261761017).

Almost surely, 2^{41554523522033} is an apocalyptic number.

It is an amenable number.

41554523522033 is a deficient number, since it is larger than the sum of its proper divisors (1).

41554523522033 is an equidigital number, since it uses as much as digits as its factorization.

41554523522033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160000, while the sum is 44.

The spelling of 41554523522033 in words is "forty-one trillion, five hundred fifty-four billion, five hundred twenty-three million, five hundred twenty-two thousand, thirty-three".