1005302211209 has 8 divisors (see below), whose sum is σ = 1005611551560. Its totient is φ = 1004992932736.

The previous prime is 1005302211157. The next prime is 1005302211217. The reversal of 1005302211209 is 9021122035001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 144251838025 + 861050373184 = 379805^2 + 927928^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005302211209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005302211269) 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, 72688307 + ... + 72702135.

It is an arithmetic number, because the mean of its divisors is an integer number (125701443945).

Almost surely, 2^{1005302211209} is an apocalyptic number.

It is an amenable number.

1005302211209 is a deficient number, since it is larger than the sum of its proper divisors (309340351).

1005302211209 is an equidigital number, since it uses as much as digits as its factorization.

1005302211209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30939.

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 1005302211209 in words is "one trillion, five billion, three hundred two million, two hundred eleven thousand, two hundred nine".