1001830009 has 24 divisors (see below), whose sum is σ = 1101596760. Its totient is φ = 907545600.

The previous prime is 1001829989. The next prime is 1001830033. The reversal of 1001830009 is 9000381001.

It can be written as a sum of positive squares in 12 ways, for example, as 279725625 + 722104384 = 16725^2 + 26872^2 .

It is not a de Polignac number, because 1001830009 - 2⁹ = 1001829497 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001830079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9191047 + ... + 9191155.

It is an arithmetic number, because the mean of its divisors is an integer number (45899865).

Almost surely, 2^1001830009 is an apocalyptic number.

It is an amenable number.

1001830009 is a deficient number, since it is larger than the sum of its proper divisors (99766751).

1001830009 is a wasteful number, since it uses less digits than its factorization.

1001830009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1001830009 is about 31651.6983588559. The cubic root of 1001830009 is about 1000.6096312742.

The spelling of 1001830009 in words is "one billion, one million, eight hundred thirty thousand, nine".