41605272756337 has 2 divisors, whose sum is σ = 41605272756338. Its totient is φ = 41605272756336.

The previous prime is 41605272756293. The next prime is 41605272756371. The reversal of 41605272756337 is 73365727250614.

41605272756337 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., 30018608197776 + 11586664558561 = 5478924^2 + 3403919^2 .

It is a cyclic number.

It is not a de Polignac number, because 41605272756337 - 2⁷ = 41605272756209 is a prime.

It is a super-2 number, since 2×41605272756337² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41600272756337) 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, 20802636378168 + 20802636378169.

It is an arithmetic number, because the mean of its divisors is an integer number (20802636378169).

Almost surely, 2^{41605272756337} is an apocalyptic number.

It is an amenable number.

41605272756337 is a deficient number, since it is larger than the sum of its proper divisors (1).

41605272756337 is an equidigital number, since it uses as much as digits as its factorization.

41605272756337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44452800, while the sum is 58.

The spelling of 41605272756337 in words is "forty-one trillion, six hundred five billion, two hundred seventy-two million, seven hundred fifty-six thousand, three hundred thirty-seven".