54005309 has 2 divisors, whose sum is σ = 54005310. Its totient is φ = 54005308.

The previous prime is 54005293. The next prime is 54005321. The reversal of 54005309 is 90350045.

54005309 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., 38402809 + 15602500 = 6197^2 + 3950^2 .

It is a cyclic number.

It is not a de Polignac number, because 54005309 - 2⁴ = 54005293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54005359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27002654 + 27002655.

It is an arithmetic number, because the mean of its divisors is an integer number (27002655).

Almost surely, 2^54005309 is an apocalyptic number.

It is an amenable number.

54005309 is a deficient number, since it is larger than the sum of its proper divisors (1).

54005309 is an equidigital number, since it uses as much as digits as its factorization.

54005309 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 26.

The square root of 54005309 is about 7348.8304511670. The cubic root of 54005309 is about 377.9887014530.

The spelling of 54005309 in words is "fifty-four million, five thousand, three hundred nine".