1001095905697 has 2 divisors, whose sum is σ = 1001095905698. Its totient is φ = 1001095905696.

The previous prime is 1001095905683. The next prime is 1001095905707. The reversal of 1001095905697 is 7965095901001.

1001095905697 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., 871233693201 + 129862212496 = 933399^2 + 360364^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001095905697 - 2⁷ = 1001095905569 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001095905617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500547952848 + 500547952849.

It is an arithmetic number, because the mean of its divisors is an integer number (500547952849).

Almost surely, 2^{1001095905697} is an apocalyptic number.

It is an amenable number.

1001095905697 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001095905697 is an equidigital number, since it uses as much as digits as its factorization.

1001095905697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 765450, while the sum is 52.

The spelling of 1001095905697 in words is "one trillion, one billion, ninety-five million, nine hundred five thousand, six hundred ninety-seven".