1001166041 has 2 divisors, whose sum is σ = 1001166042. Its totient is φ = 1001166040.

The previous prime is 1001166029. The next prime is 1001166053. The reversal of 1001166041 is 1406611001.

It is a balanced prime because it is at equal distance from previous prime (1001166029) and next prime (1001166053).

It can be written as a sum of positive squares in only one way, i.e., 936604816 + 64561225 = 30604^2 + 8035^2 .

It is an emirp because it is prime and its reverse (1406611001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001166041 - 2¹⁰ = 1001165017 is a prime.

It is a super-2 number, since 2×1001166041² = 2004666883303227362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001166071) 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, 500583020 + 500583021.

It is an arithmetic number, because the mean of its divisors is an integer number (500583021).

Almost surely, 2^1001166041 is an apocalyptic number.

It is an amenable number.

1001166041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001166041 is an equidigital number, since it uses as much as digits as its factorization.

1001166041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1001166041 is about 31641.2079573457. The cubic root of 1001166041 is about 1000.3885293587.

Adding to 1001166041 its reverse (1406611001), we get a palindrome (2407777042).

The spelling of 1001166041 in words is "one billion, one million, one hundred sixty-six thousand, forty-one".