8008000901 has 2 divisors, whose sum is σ = 8008000902. Its totient is φ = 8008000900.

The previous prime is 8008000849. The next prime is 8008000933. The reversal of 8008000901 is 1090008008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4776192100 + 3231808801 = 69110^2 + 56849^2 .

It is a cyclic number.

It is not a de Polignac number, because 8008000901 - 2¹⁰ = 8007999877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8008000601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4004000450 + 4004000451.

It is an arithmetic number, because the mean of its divisors is an integer number (4004000451).

Almost surely, 2^8008000901 is an apocalyptic number.

It is an amenable number.

8008000901 is a deficient number, since it is larger than the sum of its proper divisors (1).

8008000901 is an equidigital number, since it uses as much as digits as its factorization.

8008000901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 8008000901 is about 89487.4343190149. The cubic root of 8008000901 is about 2000.6665196011. Note that the first 3 decimals are identical.

Adding to 8008000901 its reverse (1090008008), we get a palindrome (9098008909).

The spelling of 8008000901 in words is "eight billion, eight million, nine hundred one", and thus it is an aban number.