11005811 has 2 divisors, whose sum is σ = 11005812. Its totient is φ = 11005810.

The previous prime is 11005793. The next prime is 11005823. The reversal of 11005811 is 11850011.

11005811 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (11850011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11005811 - 2¹⁴ = 10989427 is a prime.

It is a super-2 number, since 2×11005811² = 242255751535442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11005811.

It is not a weakly prime, because it can be changed into another prime (11005871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5502905 + 5502906.

It is an arithmetic number, because the mean of its divisors is an integer number (5502906).

Almost surely, 2^11005811 is an apocalyptic number.

11005811 is a deficient number, since it is larger than the sum of its proper divisors (1).

11005811 is an equidigital number, since it uses as much as digits as its factorization.

11005811 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 17.

The square root of 11005811 is about 3317.5007159005. The cubic root of 11005811 is about 222.4371644304.

Adding to 11005811 its reverse (11850011), we get a palindrome (22855822).

It can be divided in two parts, 1100 and 5811, that multiplied together give a triangular number (6392100 = T₃₅₇₅).

The spelling of 11005811 in words is "eleven million, five thousand, eight hundred eleven".