1000401001 has 2 divisors, whose sum is σ = 1000401002. Its totient is φ = 1000401000.

The previous prime is 1000400987. The next prime is 1000401011. The reversal of 1000401001 is 1001040001.

It is a happy number.

1000401001 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., 788261776 + 212139225 = 28076^2 + 14565^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000401001 - 2²³ = 992012393 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000401011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500200500 + 500200501.

It is an arithmetic number, because the mean of its divisors is an integer number (500200501).

Almost surely, 2^1000401001 is an apocalyptic number.

It is an amenable number.

1000401001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000401001 is an equidigital number, since it uses as much as digits as its factorization.

1000401001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1000401001 is about 31629.1163487063. The cubic root of 1000401001 is about 1000.1336491371.

Adding to 1000401001 its reverse (1001040001), we get a palindrome (2001441002).

The spelling of 1000401001 in words is "one billion, four hundred one thousand, one".