2225352961 has 12 divisors (see below), whose sum is σ = 2492800380. Its totient is φ = 1983334080.

The previous prime is 2225352953. The next prime is 2225353003. The reversal of 2225352961 is 1692535222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 939054736 + 1286298225 = 30644^2 + 35865^2 .

It is not a de Polignac number, because 2225352961 - 2³ = 2225352953 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 2225352961.

It is not an unprimeable number, because it can be changed into a prime (2225352911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222130 + ... + 231931.

It is an arithmetic number, because the mean of its divisors is an integer number (207733365).

Almost surely, 2^2225352961 is an apocalyptic number.

It is an amenable number.

2225352961 is a deficient number, since it is larger than the sum of its proper divisors (267447419).

2225352961 is a wasteful number, since it uses less digits than its factorization.

2225352961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454116 (or 454103 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 2225352961 is about 47173.6468910344. The cubic root of 2225352961 is about 1305.5684142238.

The spelling of 2225352961 in words is "two billion, two hundred twenty-five million, three hundred fifty-two thousand, nine hundred sixty-one".