1009408313 has 2 divisors, whose sum is σ = 1009408314. Its totient is φ = 1009408312.

The previous prime is 1009408259. The next prime is 1009408327. The reversal of 1009408313 is 3138049001.

1009408313 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., 521528569 + 487879744 = 22837^2 + 22088^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009408313 - 2¹⁶ = 1009342777 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009408333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504704156 + 504704157.

It is an arithmetic number, because the mean of its divisors is an integer number (504704157).

Almost surely, 2^1009408313 is an apocalyptic number.

It is an amenable number.

1009408313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009408313 is an equidigital number, since it uses as much as digits as its factorization.

1009408313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1009408313 is about 31771.1868365033. The cubic root of 1009408313 is about 1003.1263202695.

The spelling of 1009408313 in words is "one billion, nine million, four hundred eight thousand, three hundred thirteen".