2080728225 has 27 divisors (see below), whose sum is σ = 3728041369. Its totient is φ = 1109356800.

The previous prime is 2080728203. The next prime is 2080728253. The reversal of 2080728225 is 5228270802.

The square root of 2080728225 is 45615.

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 475283601 + 1605444624 = 21801^2 + 40068^2 .

It is not a de Polignac number, because 2080728225 - 2⁵ = 2080728193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2080728225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 682705 + ... + 685745.

Almost surely, 2^2080728225 is an apocalyptic number.

2080728225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2080728225 is the 45615-th square number.

2080728225 is the 22808-th centered octagonal number.

It is an amenable number.

2080728225 is a deficient number, since it is larger than the sum of its proper divisors (1647313144).

2080728225 is an frugal number, since it uses more digits than its factorization.

2080728225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The cubic root of 2080728225 is about 1276.6498135180.

Multiplying 2080728225 by its sum of digits (36), we get a square (74906216100 = 273690²).

The spelling of 2080728225 in words is "two billion, eighty million, seven hundred twenty-eight thousand, two hundred twenty-five".