11006636205241 has 2 divisors, whose sum is σ = 11006636205242. Its totient is φ = 11006636205240.

The previous prime is 11006636205139. The next prime is 11006636205263. The reversal of 11006636205241 is 14250263660011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6137530579216 + 4869105626025 = 2477404^2 + 2206605^2 .

It is an emirp because it is prime and its reverse (14250263660011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11006636205241 - 2¹⁵ = 11006636172473 is a prime.

It is a super-2 number, since 2×11006636205241² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006636205241.

It is not a weakly prime, because it can be changed into another prime (11006636205041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503318102620 + 5503318102621.

It is an arithmetic number, because the mean of its divisors is an integer number (5503318102621).

Almost surely, 2^{11006636205241} is an apocalyptic number.

It is an amenable number.

11006636205241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006636205241 is an equidigital number, since it uses as much as digits as its factorization.

11006636205241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 11006636205241 its reverse (14250263660011), we get a palindrome (25256899865252).

The spelling of 11006636205241 in words is "eleven trillion, six billion, six hundred thirty-six million, two hundred five thousand, two hundred forty-one".