1001105309 has 2 divisors, whose sum is σ = 1001105310. Its totient is φ = 1001105308.

The previous prime is 1001105297. The next prime is 1001105321. The reversal of 1001105309 is 9035011001.

It is a balanced prime because it is at equal distance from previous prime (1001105297) and next prime (1001105321).

It can be written as a sum of positive squares in only one way, i.e., 948948025 + 52157284 = 30805^2 + 7222^2 .

It is an emirp because it is prime and its reverse (9035011001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001105309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001105359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500552654 + 500552655.

It is an arithmetic number, because the mean of its divisors is an integer number (500552655).

Almost surely, 2^1001105309 is an apocalyptic number.

It is an amenable number.

1001105309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001105309 is an equidigital number, since it uses as much as digits as its factorization.

1001105309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 20.

The square root of 1001105309 is about 31640.2482449174. The cubic root of 1001105309 is about 1000.3683006713.

The spelling of 1001105309 in words is "one billion, one million, one hundred five thousand, three hundred nine".