585055241 has 2 divisors, whose sum is σ = 585055242. Its totient is φ = 585055240.

The previous prime is 585055223. The next prime is 585055243. The reversal of 585055241 is 142550585.

585055241 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., 559086025 + 25969216 = 23645^2 + 5096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-585055241 is a prime.

It is a Sophie Germain prime.

Together with 585055243, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (585055243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 292527620 + 292527621.

It is an arithmetic number, because the mean of its divisors is an integer number (292527621).

Almost surely, 2^585055241 is an apocalyptic number.

It is an amenable number.

585055241 is a deficient number, since it is larger than the sum of its proper divisors (1).

585055241 is an equidigital number, since it uses as much as digits as its factorization.

585055241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40000, while the sum is 35.

The square root of 585055241 is about 24187.9151850671. The cubic root of 585055241 is about 836.3709849883.

The spelling of 585055241 in words is "five hundred eighty-five million, fifty-five thousand, two hundred forty-one".