1000010011009 has 8 divisors (see below), whose sum is σ = 1004040115848. Its totient is φ = 995980984320.

The previous prime is 1000010011001. The next prime is 1000010011027. The reversal of 1000010011009 is 9001100100001.

1000010011009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90542615409 + 909467395600 = 300903^2 + 953660^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000010011009 - 2³ = 1000010011001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000010011009.

It is not an unprimeable number, because it can be changed into a prime (1000010011001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1615749 + ... + 2147245.

It is an arithmetic number, because the mean of its divisors is an integer number (125505014481).

Almost surely, 2^{1000010011009} is an apocalyptic number.

It is an amenable number.

1000010011009 is a deficient number, since it is larger than the sum of its proper divisors (4030104839).

1000010011009 is an equidigital number, since it uses as much as digits as its factorization.

1000010011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539075.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 1000010011009 in words is "one trillion, ten million, eleven thousand, nine".