1010084609 has 2 divisors, whose sum is σ = 1010084610. Its totient is φ = 1010084608.

The previous prime is 1010084573. The next prime is 1010084611. The reversal of 1010084609 is 9064800101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 645160000 + 364924609 = 25400^2 + 19103^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010084609 - 2²⁰ = 1009036033 is a prime.

Together with 1010084611, 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 (1010084659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505042304 + 505042305.

It is an arithmetic number, because the mean of its divisors is an integer number (505042305).

Almost surely, 2^1010084609 is an apocalyptic number.

It is an amenable number.

1010084609 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010084609 is an equidigital number, since it uses as much as digits as its factorization.

1010084609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1010084609 is about 31781.8282828411. The cubic root of 1010084609 is about 1003.3502992928.

The spelling of 1010084609 in words is "one billion, ten million, eighty-four thousand, six hundred nine".