211065216225 has 24 divisors (see below), whose sum is σ = 348996210432. Its totient is φ = 112556808000.

The previous prime is 211065216209. The next prime is 211065216283. The reversal of 211065216225 is 522612560112.

211065216225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211065216225 - 2⁴ = 211065216209 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638800 + ... + 911150.

It is an arithmetic number, because the mean of its divisors is an integer number (14541508768).

Almost surely, 2^211065216225 is an apocalyptic number.

211065216225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211065216225 is a deficient number, since it is larger than the sum of its proper divisors (137930994207).

211065216225 is a wasteful number, since it uses less digits than its factorization.

211065216225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282697 (or 282692 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 211065216225 its reverse (522612560112), we get a palindrome (733677776337).

The spelling of 211065216225 in words is "two hundred eleven billion, sixty-five million, two hundred sixteen thousand, two hundred twenty-five".