1011083681 has 2 divisors, whose sum is σ = 1011083682. Its totient is φ = 1011083680.

The previous prime is 1011083669. The next prime is 1011083683. The reversal of 1011083681 is 1863801101.

1011083681 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., 542144656 + 468939025 = 23284^2 + 21655^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011083681 - 2⁶ = 1011083617 is a prime.

It is a super-2 number, since 2×1011083681² = 2044580419969019522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1011083683, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1011083683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505541840 + 505541841.

It is an arithmetic number, because the mean of its divisors is an integer number (505541841).

Almost surely, 2^1011083681 is an apocalyptic number.

It is an amenable number.

1011083681 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011083681 is an equidigital number, since it uses as much as digits as its factorization.

1011083681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 1011083681 is about 31797.5420590963. The cubic root of 1011083681 is about 1003.6809939911.

Adding to 1011083681 its reverse (1863801101), we get a palindrome (2874884782).

The spelling of 1011083681 in words is "one billion, eleven million, eighty-three thousand, six hundred eighty-one".