1000008004001 has 2 divisors, whose sum is σ = 1000008004002. Its totient is φ = 1000008004000.

The previous prime is 1000008003983. The next prime is 1000008004007. The reversal of 1000008004001 is 1004008000001.

It is a happy number.

1000008004001 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., 752799169600 + 247208834401 = 867640^2 + 497201^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000008004001 - 2¹⁸ = 1000007741857 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000008004007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500004002000 + 500004002001.

It is an arithmetic number, because the mean of its divisors is an integer number (500004002001).

Almost surely, 2^{1000008004001} is an apocalyptic number.

It is an amenable number.

1000008004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000008004001 is an equidigital number, since it uses as much as digits as its factorization.

1000008004001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 1000008004001 in words is "one trillion, eight million, four thousand, one".