1006165009 has 4 divisors (see below), whose sum is σ = 1065351204. Its totient is φ = 946978816.

The previous prime is 1006165003. The next prime is 1006165057. The reversal of 1006165009 is 9005616001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 886371984 + 119793025 = 29772^2 + 10945^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006165009 - 2³ = 1006165001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006165001) 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 in 3 ways as a sum of consecutive naturals, for example, 29593072 + ... + 29593105.

It is an arithmetic number, because the mean of its divisors is an integer number (266337801).

Almost surely, 2^1006165009 is an apocalyptic number.

It is an amenable number.

1006165009 is a deficient number, since it is larger than the sum of its proper divisors (59186195).

1006165009 is an equidigital number, since it uses as much as digits as its factorization.

1006165009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59186194.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1006165009 is about 31720.1041770042. The cubic root of 1006165009 is about 1002.0507943674.

It can be divided in two parts, 100616 and 5009, that added together give a square (105625 = 325²).

The spelling of 1006165009 in words is "one billion, six million, one hundred sixty-five thousand, nine".