1005610009 has 2 divisors, whose sum is σ = 1005610010. Its totient is φ = 1005610008.

The previous prime is 1005609977. The next prime is 1005610057. The reversal of 1005610009 is 9000165001.

1005610009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 677456784 + 328153225 = 26028^2 + 18115^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005610009 - 2⁵ = 1005609977 is a prime.

It is a super-2 number, since 2×1005610009² = 2022502980401960162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005610069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502805004 + 502805005.

It is an arithmetic number, because the mean of its divisors is an integer number (502805005).

Almost surely, 2^1005610009 is an apocalyptic number.

It is an amenable number.

1005610009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005610009 is an equidigital number, since it uses as much as digits as its factorization.

1005610009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 1005610009 is about 31711.3545752937. The cubic root of 1005610009 is about 1001.8665169469.

The spelling of 1005610009 in words is "one billion, five million, six hundred ten thousand, nine".