2821225617 has 54 divisors (see below), whose sum is σ = 4873051638. Its totient is φ = 1568222208.

The previous prime is 2821225613. The next prime is 2821225637. The reversal of 2821225617 is 7165221282.

It is a happy number.

2821225617 is a `hidden beast` number, since 2 + 8 + 2 + 12 + 25 + 617 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2324782656 + 496442961 = 48216^2 + 22281^2 .

It is not a de Polignac number, because 2821225617 - 2² = 2821225613 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2821225613) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 601393 + ... + 606065.

It is an arithmetic number, because the mean of its divisors is an integer number (90241697).

Almost surely, 2^2821225617 is an apocalyptic number.

It is an amenable number.

2821225617 is a deficient number, since it is larger than the sum of its proper divisors (2051826021).

2821225617 is a wasteful number, since it uses less digits than its factorization.

2821225617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4720 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 2821225617 is about 53115.2107874948. The cubic root of 2821225617 is about 1413.0122909784.

Adding to 2821225617 its reverse (7165221282), we get a palindrome (9986446899).

The spelling of 2821225617 in words is "two billion, eight hundred twenty-one million, two hundred twenty-five thousand, six hundred seventeen".