1005305263 has 2 divisors, whose sum is σ = 1005305264. Its totient is φ = 1005305262.

The previous prime is 1005305261. The next prime is 1005305267. The reversal of 1005305263 is 3625035001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005305263 - 2¹ = 1005305261 is a prime.

Together with 1005305261, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005305261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502652631 + 502652632.

It is an arithmetic number, because the mean of its divisors is an integer number (502652632).

Almost surely, 2^1005305263 is an apocalyptic number.

1005305263 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005305263 is an equidigital number, since it uses as much as digits as its factorization.

1005305263 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1005305263 is about 31706.5492130569. The cubic root of 1005305263 is about 1001.7653028720.

The spelling of 1005305263 in words is "one billion, five million, three hundred five thousand, two hundred sixty-three".