11006811 has 12 divisors (see below), whose sum is σ = 16590288. Its totient is φ = 7018704.

The previous prime is 11006777. The next prime is 11006851. The reversal of 11006811 is 11860011.

11006811 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11006811 - 2¹⁵ = 10974043 is a prime.

It is a super-2 number, since 2×11006811² = 242299776779442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26380 + ... + 26793.

It is an arithmetic number, because the mean of its divisors is an integer number (1382524).

Almost surely, 2^11006811 is an apocalyptic number.

11006811 is a deficient number, since it is larger than the sum of its proper divisors (5583477).

11006811 is a wasteful number, since it uses less digits than its factorization.

11006811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53202 (or 53199 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 11006811 is about 3317.6514283451. The cubic root of 11006811 is about 222.4439011876.

Adding to 11006811 its reverse (11860011), we get a palindrome (22866822).

The spelling of 11006811 in words is "eleven million, six thousand, eight hundred eleven".