2585741393 has 2 divisors, whose sum is σ = 2585741394. Its totient is φ = 2585741392.

The previous prime is 2585741359. The next prime is 2585741401. The reversal of 2585741393 is 3931475852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1924840129 + 660901264 = 43873^2 + 25708^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585741393 - 2⁶ = 2585741329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585741303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292870696 + 1292870697.

It is an arithmetic number, because the mean of its divisors is an integer number (1292870697).

Almost surely, 2^2585741393 is an apocalyptic number.

It is an amenable number.

2585741393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585741393 is an equidigital number, since it uses as much as digits as its factorization.

2585741393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 907200, while the sum is 47.

The square root of 2585741393 is about 50850.1857715387. The cubic root of 2585741393 is about 1372.5505956002.

The spelling of 2585741393 in words is "two billion, five hundred eighty-five million, seven hundred forty-one thousand, three hundred ninety-three".