2585010289 has 2 divisors, whose sum is σ = 2585010290. Its totient is φ = 2585010288.

The previous prime is 2585010229. The next prime is 2585010301. The reversal of 2585010289 is 9820105852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1763328064 + 821682225 = 41992^2 + 28665^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585010289 - 2¹³ = 2585002097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585010229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292505144 + 1292505145.

It is an arithmetic number, because the mean of its divisors is an integer number (1292505145).

Almost surely, 2^2585010289 is an apocalyptic number.

It is an amenable number.

2585010289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585010289 is an equidigital number, since it uses as much as digits as its factorization.

2585010289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 2585010289 is about 50842.9964596895. The cubic root of 2585010289 is about 1372.4212230569.

The spelling of 2585010289 in words is "two billion, five hundred eighty-five million, ten thousand, two hundred eighty-nine".