200001256225 has 9 divisors (see below), whose sum is σ = 248004330483. Its totient is φ = 159999216120.

The previous prime is 200001256183. The next prime is 200001256249. The reversal of 200001256225 is 522652100002.

It is a happy number.

The square root of 200001256225 is 447215.

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

It can be written as a sum of positive squares in only one way, i.e., 72000452241 + 128000803984 = 268329^2 + 357772^2 .

It is not a de Polignac number, because 200001256225 - 2¹³ = 200001248033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200001256225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2191354 + ... + 2280796.

Almost surely, 2^200001256225 is an apocalyptic number.

200001256225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200001256225 is the 447215-th square number.

200001256225 is the 223608-th centered octagonal number.

It is an amenable number.

200001256225 is a deficient number, since it is larger than the sum of its proper divisors (48003074258).

200001256225 is an frugal number, since it uses more digits than its factorization.

200001256225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178896 (or 89448 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Multiplying 200001256225 by its sum of digits (25), we get a square (5000031405625 = 2236075²).

200001256225 divided by its sum of digits (25) gives a square (8000050249 = 89443²).

Adding to 200001256225 its reverse (522652100002), we get a palindrome (722653356227).

The spelling of 200001256225 in words is "two hundred billion, one million, two hundred fifty-six thousand, two hundred twenty-five".