1005301249 has 2 divisors, whose sum is σ = 1005301250. Its totient is φ = 1005301248.

The previous prime is 1005301247. The next prime is 1005301309. The reversal of 1005301249 is 9421035001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 847974400 + 157326849 = 29120^2 + 12543^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005301249 - 2¹ = 1005301247 is a prime.

Together with 1005301247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1005301247) 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, 502650624 + 502650625.

It is an arithmetic number, because the mean of its divisors is an integer number (502650625).

Almost surely, 2^1005301249 is an apocalyptic number.

It is an amenable number.

1005301249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005301249 is an equidigital number, since it uses as much as digits as its factorization.

1005301249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1005301249 is about 31706.4859137685. The cubic root of 1005301249 is about 1001.7639695817.

The spelling of 1005301249 in words is "one billion, five million, three hundred one thousand, two hundred forty-nine".