200681600625 has 225 divisors, whose sum is σ = 414048476919. Its totient is φ = 96762600000.

The previous prime is 200681600551. The next prime is 200681600687. The reversal of 200681600625 is 526006186002.

The square root of 200681600625 is 447975.

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

200681600625 is a `hidden beast` number, since 20 + 0 + 6 + 8 + 1 + 6 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 194346077409 + 6335523216 = 440847^2 + 79596^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 200681600625 - 2¹¹ = 200681598577 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 200681600625.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1108738035 + ... + 1108738215.

Almost surely, 2^200681600625 is an apocalyptic number.

200681600625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200681600625 is the 447975-th square number.

200681600625 is the 223988-th centered octagonal number.

It is an amenable number.

200681600625 is an abundant number, since it is smaller than the sum of its proper divisors (213366876294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200681600625 is an frugal number, since it uses more digits than its factorization.

200681600625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 200681600625 by its sum of digits (36), we get a square (7224537622500 = 2687850²).

Adding to 200681600625 its reverse (526006186002), we get a palindrome (726687786627).

The spelling of 200681600625 in words is "two hundred billion, six hundred eighty-one million, six hundred thousand, six hundred twenty-five".