1024000009 has 2 divisors, whose sum is σ = 1024000010. Its totient is φ = 1024000008.

The previous prime is 1023999989. The next prime is 1024000031. The reversal of 1024000009 is 9000004201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1024000000 + 9 = 32000^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 1024000009 - 2⁷ = 1023999881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023999956 and 1024000001.

It is not a weakly prime, because it can be changed into another prime (1024000039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512000004 + 512000005.

It is an arithmetic number, because the mean of its divisors is an integer number (512000005).

Almost surely, 2^1024000009 is an apocalyptic number.

It is an amenable number.

1024000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024000009 is an equidigital number, since it uses as much as digits as its factorization.

1024000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1024000009 is about 32000.0001406250. Note that the first 3 decimals coincide. The cubic root of 1024000009 is about 1007.9368428688.

The spelling of 1024000009 in words is "one billion, twenty-four million, nine", and thus it is an aban number.