1005102009 has 24 divisors (see below), whose sum is σ = 1470760200. Its totient is φ = 661351680.

The previous prime is 1005101969. The next prime is 1005102013. The reversal of 1005102009 is 9002015001.

It can be written as a sum of positive squares in 4 ways, for example, as 323892009 + 681210000 = 17997^2 + 26100^2 .

It is not a de Polignac number, because 1005102009 - 2⁹ = 1005101497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005101982 and 1005102000.

It is not an unprimeable number, because it can be changed into a prime (1005102019) 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, 817207 + ... + 818435.

It is an arithmetic number, because the mean of its divisors is an integer number (61281675).

Almost surely, 2^1005102009 is an apocalyptic number.

It is an amenable number.

1005102009 is a deficient number, since it is larger than the sum of its proper divisors (465658191).

1005102009 is a wasteful number, since it uses less digits than its factorization.

1005102009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1005102009 is about 31703.3438141783. The cubic root of 1005102009 is about 1001.6977855596.

The spelling of 1005102009 in words is "one billion, five million, one hundred two thousand, nine".