2813721082225 has 27 divisors (see below), whose sum is σ = 3682519882977. Its totient is φ = 2132383625280.

The previous prime is 2813721082217. The next prime is 2813721082273. The reversal of 2813721082225 is 5222801273182.

The square root of 2813721082225 is 1677415.

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 830254459489 + 1983466622736 = 911183^2 + 1408356^2 .

It is not a de Polignac number, because 2813721082225 - 2³ = 2813721082217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159345597 + ... + 159363253.

Almost surely, 2^{2813721082225} is an apocalyptic number.

2813721082225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2813721082225 is the 1677415-th square number.

2813721082225 is the 838708-th centered octagonal number.

It is an amenable number.

2813721082225 is a deficient number, since it is larger than the sum of its proper divisors (868798800752).

2813721082225 is an frugal number, since it uses more digits than its factorization.

2813721082225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35362 (or 17681 counting only the distinct ones).

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

The spelling of 2813721082225 in words is "two trillion, eight hundred thirteen billion, seven hundred twenty-one million, eighty-two thousand, two hundred twenty-five".