2585587121 has 8 divisors (see below), whose sum is σ = 2859735144. Its totient is φ = 2322190080.

The previous prime is 2585587117. The next prime is 2585587153. The reversal of 2585587121 is 1217855852.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 424360000 + 2161227121 = 20600^2 + 46489^2 .

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 2585587121 - 2² = 2585587117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585587421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2687240 + ... + 2688201.

It is an arithmetic number, because the mean of its divisors is an integer number (357466893).

Almost surely, 2^2585587121 is an apocalyptic number.

It is an amenable number.

2585587121 is a deficient number, since it is larger than the sum of its proper divisors (274148023).

2585587121 is a wasteful number, since it uses less digits than its factorization.

2585587121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375491.

The product of its digits is 224000, while the sum is 44.

The square root of 2585587121 is about 50848.6688223005. The cubic root of 2585587121 is about 1372.5232984213.

The spelling of 2585587121 in words is "two billion, five hundred eighty-five million, five hundred eighty-seven thousand, one hundred twenty-one".