54085768309 has 2 divisors, whose sum is σ = 54085768310. Its totient is φ = 54085768308.

The previous prime is 54085768241. The next prime is 54085768337. The reversal of 54085768309 is 90386758045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44812656100 + 9273112209 = 211690^2 + 96297^2 .

It is a cyclic number.

It is not a de Polignac number, because 54085768309 - 2¹⁵ = 54085735541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54085768309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54085768339) 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, 27042884154 + 27042884155.

It is an arithmetic number, because the mean of its divisors is an integer number (27042884155).

Almost surely, 2^54085768309 is an apocalyptic number.

It is an amenable number.

54085768309 is a deficient number, since it is larger than the sum of its proper divisors (1).

54085768309 is an equidigital number, since it uses as much as digits as its factorization.

54085768309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 54085768309 in words is "fifty-four billion, eighty-five million, seven hundred sixty-eight thousand, three hundred nine".