211632201225 has 45 divisors (see below), whose sum is σ = 392054343703. Its totient is φ = 112859466480.

The previous prime is 211632201203. The next prime is 211632201227. The reversal of 211632201225 is 522102236112.

The square root of 211632201225 is 460035.

It is a perfect power (a square), and thus also a powerful number.

211632201225 is a `hidden beast` number, since 2 + 1 + 1 + 632 + 2 + 0 + 1 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76187592441 + 135444608784 = 276021^2 + 368028^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 211632201225 - 2²⁵ = 211598646793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211632201227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20696464 + ... + 20706686.

Almost surely, 2^211632201225 is an apocalyptic number.

211632201225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211632201225 is the 460035-th square number.

211632201225 is the 230018-th centered octagonal number.

It is an amenable number.

211632201225 is a deficient number, since it is larger than the sum of its proper divisors (180422142478).

211632201225 is an frugal number, since it uses more digits than its factorization.

211632201225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20468 (or 10231 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 211632201225 its reverse (522102236112), we get a palindrome (733734437337).

The spelling of 211632201225 in words is "two hundred eleven billion, six hundred thirty-two million, two hundred one thousand, two hundred twenty-five".