205020116585 has 8 divisors (see below), whose sum is σ = 246027715080. Its totient is φ = 164013709824.

The previous prime is 205020116503. The next prime is 205020116633. The reversal of 205020116585 is 585611020502.

It can be written as a sum of positive squares in 4 ways, for example, as 78600047449 + 126420069136 = 280357^2 + 355556^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205020116585 - 2¹⁸ = 205019854441 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138731 + ... + 655199.

It is an arithmetic number, because the mean of its divisors is an integer number (30753464385).

Almost surely, 2^205020116585 is an apocalyptic number.

It is an amenable number.

205020116585 is a deficient number, since it is larger than the sum of its proper divisors (41007598495).

205020116585 is an equidigital number, since it uses as much as digits as its factorization.

205020116585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595867.

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 205020116585 in words is "two hundred five billion, twenty million, one hundred sixteen thousand, five hundred eighty-five".