2008271608225 has 27 divisors (see below), whose sum is σ = 2508194055801. Its totient is φ = 1595127156000.

The previous prime is 2008271608223. The next prime is 2008271608237. The reversal of 2008271608225 is 5228061728002.

The square root of 2008271608225 is 1417135.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 427951969 + 2007843656256 = 20687^2 + 1416984^2 .

It is not a de Polignac number, because 2008271608225 - 2¹ = 2008271608223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2008271608223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1069935987 + ... + 1069937863.

Almost surely, 2^{2008271608225} is an apocalyptic number.

2008271608225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2008271608225 is the 1417135-th square number.

2008271608225 is the 708568-th centered octagonal number.

It is an amenable number.

2008271608225 is a deficient number, since it is larger than the sum of its proper divisors (499922447576).

2008271608225 is an frugal number, since it uses more digits than its factorization.

2008271608225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 2008271608225 in words is "two trillion, eight billion, two hundred seventy-one million, six hundred eight thousand, two hundred twenty-five".