1000008000001 has 2 divisors, whose sum is σ = 1000008000002. Its totient is φ = 1000008000000.

The previous prime is 1000007999987. The next prime is 1000008000029.

1000008000001 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 863607783025 + 136400216976 = 929305^2 + 369324^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1000008000001 - 2⁹ = 1000007999489 is a prime.

1000008000001 is a strobogrammatic number because it is the same when read upside-down.

It is not a weakly prime, because it can be changed into another prime (1000008004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500004000000 + 500004000001.

It is an arithmetic number, because the mean of its divisors is an integer number (500004000001).

Almost surely, 2^{1000008000001} is an apocalyptic number.

It is an amenable number.

1000008000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000008000001 is an equidigital number, since it uses as much as digits as its factorization.

1000008000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 1000008000001 in words is "one trillion, eight million, one", and thus it is an aban number and an uban number.