200201625 has 112 divisors (see below), whose sum is σ = 405809040. Its totient is φ = 98560800.

The previous prime is 200201621. The next prime is 200201669. The reversal of 200201625 is 526102002.

The cubic root of 200201625 is 585.

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

200201625 is a `hidden beast` number, since 20 + 0 + 20 + 1 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 200165904 + 35721 = 14148^2 + 189^2 .

It is not a de Polignac number, because 200201625 - 2² = 200201621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200201598 and 200201607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201621) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15400119 + ... + 15400131.

It is an arithmetic number, because the mean of its divisors is an integer number (3623295).

Almost surely, 2^200201625 is an apocalyptic number.

200201625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

200201625 is an abundant number, since it is smaller than the sum of its proper divisors (205607415).

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

200201625 is an frugal number, since it uses more digits than its factorization.

200201625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 200201625 is about 14149.2623482640.

Adding to 200201625 its reverse (526102002), we get a palindrome (726303627).

The spelling of 200201625 in words is "two hundred million, two hundred one thousand, six hundred twenty-five".