54000577 has 2 divisors, whose sum is σ = 54000578. Its totient is φ = 54000576.

The previous prime is 54000539. The next prime is 54000589. The reversal of 54000577 is 77500045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51208336 + 2792241 = 7156^2 + 1671^2 .

It is a cyclic number.

It is not a de Polignac number, because 54000577 - 2¹⁹ = 53476289 is a prime.

It is not a weakly prime, because it can be changed into another prime (54040577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27000288 + 27000289.

It is an arithmetic number, because the mean of its divisors is an integer number (27000289).

Almost surely, 2^54000577 is an apocalyptic number.

It is an amenable number.

54000577 is a deficient number, since it is larger than the sum of its proper divisors (1).

54000577 is an equidigital number, since it uses as much as digits as its factorization.

54000577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 54000577 is about 7348.5084881219. The cubic root of 54000577 is about 377.9776612126.

The spelling of 54000577 in words is "fifty-four million, five hundred seventy-seven", and thus it is an aban number.