54008561 has 2 divisors, whose sum is σ = 54008562. Its totient is φ = 54008560.

The previous prime is 54008491. The next prime is 54008573. The reversal of 54008561 is 16580045.

It is a happy number.

54008561 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., 53949025 + 59536 = 7345^2 + 244^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-54008561 is a prime.

It is a super-2 number, since 2×54008561² = 5833849322581442, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (54008261) 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, 27004280 + 27004281.

It is an arithmetic number, because the mean of its divisors is an integer number (27004281).

Almost surely, 2^54008561 is an apocalyptic number.

It is an amenable number.

54008561 is a deficient number, since it is larger than the sum of its proper divisors (1).

54008561 is an equidigital number, since it uses as much as digits as its factorization.

54008561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 54008561 is about 7349.0517075334. The cubic root of 54008561 is about 377.9962883280.

The spelling of 54008561 in words is "fifty-four million, eight thousand, five hundred sixty-one".