1006001041 has 2 divisors, whose sum is σ = 1006001042. Its totient is φ = 1006001040.

The previous prime is 1006001023. The next prime is 1006001099. The reversal of 1006001041 is 1401006001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 755095441 + 250905600 = 27479^2 + 15840^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006001041 - 2⁹ = 1006000529 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503000520 + 503000521.

It is an arithmetic number, because the mean of its divisors is an integer number (503000521).

Almost surely, 2^1006001041 is an apocalyptic number.

It is an amenable number.

1006001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006001041 is an equidigital number, since it uses as much as digits as its factorization.

1006001041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1006001041 is about 31717.5194648005. The cubic root of 1006001041 is about 1001.9963588990.

Adding to 1006001041 its reverse (1401006001), we get a palindrome (2407007042).

The spelling of 1006001041 in words is "one billion, six million, one thousand, forty-one".