8000006005001 has 2 divisors, whose sum is σ = 8000006005002. Its totient is φ = 8000006005000.

The previous prime is 8000006004953. The next prime is 8000006005031. The reversal of 8000006005001 is 1005006000008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7594461198025 + 405544806976 = 2755805^2 + 636824^2 .

It is a cyclic number.

It is not a de Polignac number, because 8000006005001 - 2⁶ = 8000006004937 is a prime.

It is not a weakly prime, because it can be changed into another prime (8000006005031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000003002500 + 4000003002501.

It is an arithmetic number, because the mean of its divisors is an integer number (4000003002501).

Almost surely, 2^{8000006005001} is an apocalyptic number.

It is an amenable number.

8000006005001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000006005001 is an equidigital number, since it uses as much as digits as its factorization.

8000006005001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 8000006005001 in words is "eight trillion, six million, five thousand, one".