1006811081 has 2 divisors, whose sum is σ = 1006811082. Its totient is φ = 1006811080.

The previous prime is 1006811059. The next prime is 1006811093. The reversal of 1006811081 is 1801186001.

1006811081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984955456 + 21855625 = 31384^2 + 4675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006811081 is a prime.

It is a super-3 number, since 3×1006811081³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1006811081.

It is not a weakly prime, because it can be changed into another prime (1006811021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503405540 + 503405541.

It is an arithmetic number, because the mean of its divisors is an integer number (503405541).

Almost surely, 2^1006811081 is an apocalyptic number.

It is an amenable number.

1006811081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006811081 is an equidigital number, since it uses as much as digits as its factorization.

1006811081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 26.

The square root of 1006811081 is about 31730.2864941368. The cubic root of 1006811081 is about 1002.2652252136.

Adding to 1006811081 its reverse (1801186001), we get a palindrome (2807997082).

The spelling of 1006811081 in words is "one billion, six million, eight hundred eleven thousand, eighty-one".