8001000001 has 2 divisors, whose sum is σ = 8001000002. Its totient is φ = 8001000000.

The previous prime is 8000999879. The next prime is 8001000017. The reversal of 8001000001 is 1000001008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6737126400 + 1263873601 = 82080^2 + 35551^2 .

It is a cyclic number.

It is not a de Polignac number, because 8001000001 - 2¹⁹ = 8000475713 is a prime.

It is not a weakly prime, because it can be changed into another prime (8001000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000500000 + 4000500001.

It is an arithmetic number, because the mean of its divisors is an integer number (4000500001).

Almost surely, 2^8001000001 is an apocalyptic number.

It is an amenable number.

8001000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8001000001 is an equidigital number, since it uses as much as digits as its factorization.

8001000001 is an evil number, because the sum of its binary digits is even.

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

The square root of 8001000001 is about 89448.3091008433. The cubic root of 8001000001 is about 2000.0833299447.

Adding to 8001000001 its reverse (1000001008), we get a palindrome (9001001009).

The spelling of 8001000001 in words is "eight billion, one million, one", and thus it is an aban number and an uban number.