1005146209 has 2 divisors, whose sum is σ = 1005146210. Its totient is φ = 1005146208.

The previous prime is 1005146173. The next prime is 1005146221. The reversal of 1005146209 is 9026415001.

1005146209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003115584 + 2030625 = 31672^2 + 1425^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005146209 - 2²⁷ = 870928481 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005146249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502573104 + 502573105.

It is an arithmetic number, because the mean of its divisors is an integer number (502573105).

Almost surely, 2^1005146209 is an apocalyptic number.

It is an amenable number.

1005146209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005146209 is an equidigital number, since it uses as much as digits as its factorization.

1005146209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1005146209 is about 31704.0408938671. The cubic root of 1005146209 is about 1001.7124687767.

The spelling of 1005146209 in words is "one billion, five million, one hundred forty-six thousand, two hundred nine".