1000313009 has 2 divisors, whose sum is σ = 1000313010. Its totient is φ = 1000313008.

The previous prime is 1000312967. The next prime is 1000313011. The reversal of 1000313009 is 9003130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 818818225 + 181494784 = 28615^2 + 13472^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000313009 - 2²⁰ = 999264433 is a prime.

It is a super-2 number, since 2×1000313009² = 2001252231949268162, which contains 22 as substring.

Together with 1000313011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1000313029) 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 as a sum of consecutive naturals, namely, 500156504 + 500156505.

It is an arithmetic number, because the mean of its divisors is an integer number (500156505).

Almost surely, 2^1000313009 is an apocalyptic number.

It is an amenable number.

1000313009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000313009 is an equidigital number, since it uses as much as digits as its factorization.

1000313009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1000313009 is about 31627.7253213063. The cubic root of 1000313009 is about 1000.1043254492.

The spelling of 1000313009 in words is "one billion, three hundred thirteen thousand, nine".