11006636205041 has 2 divisors, whose sum is σ = 11006636205042. Its totient is φ = 11006636205040.

The previous prime is 11006636205023. The next prime is 11006636205073. The reversal of 11006636205041 is 14050263660011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8563354595041 + 2443281610000 = 2926321^2 + 1563100^2 .

It is a cyclic number.

It is not a de Polignac number, because 11006636205041 - 2³⁸ = 10731758298097 is a prime.

It is a super-2 number, since 2×11006636205041² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11006636204992 and 11006636205010.

It is not a weakly prime, because it can be changed into another prime (11006636205091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503318102520 + 5503318102521.

It is an arithmetic number, because the mean of its divisors is an integer number (5503318102521).

Almost surely, 2^{11006636205041} is an apocalyptic number.

It is an amenable number.

11006636205041 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006636205041 is an equidigital number, since it uses as much as digits as its factorization.

11006636205041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

Adding to 11006636205041 its reverse (14050263660011), we get a palindrome (25056899865052).

The spelling of 11006636205041 in words is "eleven trillion, six billion, six hundred thirty-six million, two hundred five thousand, forty-one".