2662517822225 has 24 divisors (see below), whose sum is σ = 3561686468280. Its totient is φ = 1966894392320.

The previous prime is 2662517822201. The next prime is 2662517822269. The reversal of 2662517822225 is 5222287152662.

2662517822225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 19591320961 + 2642926501264 = 139969^2 + 1625708^2 .

It is not a de Polignac number, because 2662517822225 - 2⁶ = 2662517822161 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 59078870 + ... + 59123919.

It is an arithmetic number, because the mean of its divisors is an integer number (148403602845).

Almost surely, 2^{2662517822225} is an apocalyptic number.

2662517822225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2662517822225 is a deficient number, since it is larger than the sum of its proper divisors (899168646055).

2662517822225 is a wasteful number, since it uses less digits than its factorization.

2662517822225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118202869 (or 118202864 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 50.

The spelling of 2662517822225 in words is "two trillion, six hundred sixty-two billion, five hundred seventeen million, eight hundred twenty-two thousand, two hundred twenty-five".