41606133304033 has 2 divisors, whose sum is σ = 41606133304034. Its totient is φ = 41606133304032.

The previous prime is 41606133303983. The next prime is 41606133304067. The reversal of 41606133304033 is 33040333160614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39215361755089 + 2390771548944 = 6262217^2 + 1546212^2 .

It is a cyclic number.

It is not a de Polignac number, because 41606133304033 - 2³³ = 41597543369441 is a prime.

It is a super-2 number, since 2×41606133304033² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41606133303983 and 41606133304001.

It is not a weakly prime, because it can be changed into another prime (41606133302033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20803066652016 + 20803066652017.

It is an arithmetic number, because the mean of its divisors is an integer number (20803066652017).

Almost surely, 2^{41606133304033} is an apocalyptic number.

It is an amenable number.

41606133304033 is a deficient number, since it is larger than the sum of its proper divisors (1).

41606133304033 is an equidigital number, since it uses as much as digits as its factorization.

41606133304033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 37.

Adding to 41606133304033 its reverse (33040333160614), we get a palindrome (74646466464647).

The spelling of 41606133304033 in words is "forty-one trillion, six hundred six billion, one hundred thirty-three million, three hundred four thousand, thirty-three".