1006306681 has 2 divisors, whose sum is σ = 1006306682. Its totient is φ = 1006306680.

The previous prime is 1006306669. The next prime is 1006306703. The reversal of 1006306681 is 1866036001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 940955625 + 65351056 = 30675^2 + 8084^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006306681 - 2¹⁵ = 1006273913 is a prime.

It is a super-2 number, since 2×1006306681² = 2025306272450471522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1006306181) 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, 503153340 + 503153341.

It is an arithmetic number, because the mean of its divisors is an integer number (503153341).

Almost surely, 2^1006306681 is an apocalyptic number.

It is an amenable number.

1006306681 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006306681 is an equidigital number, since it uses as much as digits as its factorization.

1006306681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1006306681 is about 31722.3372562616. The cubic root of 1006306681 is about 1002.0978230610.

The spelling of 1006306681 in words is "one billion, six million, three hundred six thousand, six hundred eighty-one".