1001012009 has 8 divisors (see below), whose sum is σ = 1009127208. Its totient is φ = 992908800.

The previous prime is 1001011987. The next prime is 1001012087. The reversal of 1001012009 is 9002101001.

It can be written as a sum of positive squares in 4 ways, for example, as 54096025 + 946915984 = 7355^2 + 30772^2 .

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 1001012009 - 2²⁸ = 732576553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001011984 and 1001012002.

It is not an unprimeable number, because it can be changed into a prime (1001015009) 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 7 ways as a sum of consecutive naturals, for example, 244709 + ... + 248765.

It is an arithmetic number, because the mean of its divisors is an integer number (126140901).

Almost surely, 2^1001012009 is an apocalyptic number.

It is an amenable number.

1001012009 is a deficient number, since it is larger than the sum of its proper divisors (8115199).

1001012009 is a wasteful number, since it uses less digits than its factorization.

1001012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1001012009 is about 31638.7738226373. The cubic root of 1001012009 is about 1000.3372226015.

The spelling of 1001012009 in words is "one billion, one million, twelve thousand, nine".