2585361305 has 16 divisors (see below), whose sum is σ = 3124170000. Its totient is φ = 2053828608.

The previous prime is 2585361301. The next prime is 2585361341. The reversal of 2585361305 is 5031635852.

It can be written as a sum of positive squares in 8 ways, for example, as 98942809 + 2486418496 = 9947^2 + 49864^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585361305 - 2² = 2585361301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2585361301) 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 15 ways as a sum of consecutive naturals, for example, 1079189 + ... + 1081581.

It is an arithmetic number, because the mean of its divisors is an integer number (195260625).

Almost surely, 2^2585361305 is an apocalyptic number.

It is an amenable number.

2585361305 is a deficient number, since it is larger than the sum of its proper divisors (538808695).

2585361305 is a wasteful number, since it uses less digits than its factorization.

2585361305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820.

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 2585361305 is about 50846.4483027084. The cubic root of 2585361305 is about 1372.4833401539.

The spelling of 2585361305 in words is "two billion, five hundred eighty-five million, three hundred sixty-one thousand, three hundred five".