41605262333101 has 2 divisors, whose sum is σ = 41605262333102. Its totient is φ = 41605262333100.

The previous prime is 41605262333083. The next prime is 41605262333113. The reversal of 41605262333101 is 10133326250614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27578357280100 + 14026905053001 = 5251510^2 + 3745251^2 .

It is a cyclic number.

It is not a de Polignac number, because 41605262333101 - 2¹¹ = 41605262331053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41605262337101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20802631166550 + 20802631166551.

It is an arithmetic number, because the mean of its divisors is an integer number (20802631166551).

Almost surely, 2^{41605262333101} is an apocalyptic number.

It is an amenable number.

41605262333101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41605262333101 is an equidigital number, since it uses as much as digits as its factorization.

41605262333101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 37.

Adding to 41605262333101 its reverse (10133326250614), we get a palindrome (51738588583715).

The spelling of 41605262333101 in words is "forty-one trillion, six hundred five billion, two hundred sixty-two million, three hundred thirty-three thousand, one hundred one".