1009071013 has 2 divisors, whose sum is σ = 1009071014. Its totient is φ = 1009071012.

The previous prime is 1009071001. The next prime is 1009071031. The reversal of 1009071013 is 3101709001.

1009071013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (1009071031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 871548484 + 137522529 = 29522^2 + 11727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1009071013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009071073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504535506 + 504535507.

It is an arithmetic number, because the mean of its divisors is an integer number (504535507).

Almost surely, 2^1009071013 is an apocalyptic number.

It is an amenable number.

1009071013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009071013 is an equidigital number, since it uses as much as digits as its factorization.

1009071013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

The square root of 1009071013 is about 31765.8781241759. The cubic root of 1009071013 is about 1003.0145742105.

The spelling of 1009071013 in words is "one billion, nine million, seventy-one thousand, thirteen".