2011006181 has 2 divisors, whose sum is σ = 2011006182. Its totient is φ = 2011006180.

The previous prime is 2011006169. The next prime is 2011006183. The reversal of 2011006181 is 1816001102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1399433281 + 611572900 = 37409^2 + 24730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011006181 is a prime.

It is a super-2 number, since 2×2011006181² = 8088291720040409522, which contains 22 as substring.

Together with 2011006183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011006183) 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, 1005503090 + 1005503091.

It is an arithmetic number, because the mean of its divisors is an integer number (1005503091).

Almost surely, 2^2011006181 is an apocalyptic number.

It is an amenable number.

2011006181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011006181 is an equidigital number, since it uses as much as digits as its factorization.

2011006181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 2011006181 is about 44844.2435659249. The cubic root of 2011006181 is about 1262.2279765006.

Adding to 2011006181 its reverse (1816001102), we get a palindrome (3827007283).

The spelling of 2011006181 in words is "two billion, eleven million, six thousand, one hundred eighty-one".