1001007109 has 2 divisors, whose sum is σ = 1001007110. Its totient is φ = 1001007108.

The previous prime is 1001007103. The next prime is 1001007113. The reversal of 1001007109 is 9017001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 870545025 + 130462084 = 29505^2 + 11422^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001007109 - 2¹³ = 1000998917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001007103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500503554 + 500503555.

It is an arithmetic number, because the mean of its divisors is an integer number (500503555).

Almost surely, 2^1001007109 is an apocalyptic number.

It is an amenable number.

1001007109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001007109 is an equidigital number, since it uses as much as digits as its factorization.

1001007109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 19.

The square root of 1001007109 is about 31638.6963859132. The cubic root of 1001007109 is about 1000.3355903665.

The spelling of 1001007109 in words is "one billion, one million, seven thousand, one hundred nine".