1001306401 has 2 divisors, whose sum is σ = 1001306402. Its totient is φ = 1001306400.

The previous prime is 1001306389. The next prime is 1001306407. The reversal of 1001306401 is 1046031001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 974938176 + 26368225 = 31224^2 + 5135^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001306401 - 2⁹ = 1001305889 is a prime.

It is a super-2 number, since 2×1001306401² = 2005229017367145602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001306407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500653200 + 500653201.

It is an arithmetic number, because the mean of its divisors is an integer number (500653201).

Almost surely, 2^1001306401 is an apocalyptic number.

It is an amenable number.

1001306401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001306401 is an equidigital number, since it uses as much as digits as its factorization.

1001306401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1001306401 is about 31643.4258733153. The cubic root of 1001306401 is about 1000.4352775060.

Adding to 1001306401 its reverse (1046031001), we get a palindrome (2047337402).

The spelling of 1001306401 in words is "one billion, one million, three hundred six thousand, four hundred one".