90013309 has 2 divisors, whose sum is σ = 90013310. Its totient is φ = 90013308.

The previous prime is 90013229. The next prime is 90013331. The reversal of 90013309 is 90331009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53071225 + 36942084 = 7285^2 + 6078^2 .

It is an emirp because it is prime and its reverse (90331009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90013309 - 2²⁵ = 56458877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90013009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45006654 + 45006655.

It is an arithmetic number, because the mean of its divisors is an integer number (45006655).

Almost surely, 2^90013309 is an apocalyptic number.

It is an amenable number.

90013309 is a deficient number, since it is larger than the sum of its proper divisors (1).

90013309 is an equidigital number, since it uses as much as digits as its factorization.

90013309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 90013309 is about 9487.5344004646. The cubic root of 90013309 is about 448.1625635728.

The spelling of 90013309 in words is "ninety million, thirteen thousand, three hundred nine".