1585022041 has 2 divisors, whose sum is σ = 1585022042. Its totient is φ = 1585022040.

The previous prime is 1585022039. The next prime is 1585022051. The reversal of 1585022041 is 1402205851.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1574105625 + 10916416 = 39675^2 + 3304^2 .

It is an emirp because it is prime and its reverse (1402205851) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1585022041 - 2¹ = 1585022039 is a prime.

Together with 1585022039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1585022051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 792511020 + 792511021.

It is an arithmetic number, because the mean of its divisors is an integer number (792511021).

Almost surely, 2^1585022041 is an apocalyptic number.

It is an amenable number.

1585022041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1585022041 is an equidigital number, since it uses as much as digits as its factorization.

1585022041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 1585022041 is about 39812.3352869434. The cubic root of 1585022041 is about 1165.9459958002.

Adding to 1585022041 its reverse (1402205851), we get a palindrome (2987227892).

The spelling of 1585022041 in words is "one billion, five hundred eighty-five million, twenty-two thousand, forty-one".