1006846702681 has 2 divisors, whose sum is σ = 1006846702682. Its totient is φ = 1006846702680.

The previous prime is 1006846702663. The next prime is 1006846702723. The reversal of 1006846702681 is 1862076486001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 812594073600 + 194252629081 = 901440^2 + 440741^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006846702681 - 2³⁵ = 972486964313 is a prime.

It is a super-2 number, since 2×1006846702681² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1006846702601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503423351340 + 503423351341.

It is an arithmetic number, because the mean of its divisors is an integer number (503423351341).

Almost surely, 2^{1006846702681} is an apocalyptic number.

It is an amenable number.

1006846702681 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006846702681 is an equidigital number, since it uses as much as digits as its factorization.

1006846702681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 1006846702681 in words is "one trillion, six billion, eight hundred forty-six million, seven hundred two thousand, six hundred eighty-one".