200627847225 has 81 divisors (see below), whose sum is σ = 389284612743. Its totient is φ = 98727632640.

The previous prime is 200627847197. The next prime is 200627847253. The reversal of 200627847225 is 522748726002.

The square root of 200627847225 is 447915.

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

It is an interprime number because it is at equal distance from previous prime (200627847197) and next prime (200627847253).

It can be written as a sum of positive squares in 13 ways, for example, as 190812586041 + 9815261184 = 436821^2 + 99072^2 .

It is not a de Polignac number, because 200627847225 - 2⁵ = 200627847193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87342277 + ... + 87344573.

Almost surely, 2^200627847225 is an apocalyptic number.

200627847225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200627847225 is the 447915-th square number.

200627847225 is the 223958-th centered octagonal number.

It is an amenable number.

200627847225 is a deficient number, since it is larger than the sum of its proper divisors (188656765518).

200627847225 is an equidigital number, since it uses as much as digits as its factorization.

200627847225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 200627847225 in words is "two hundred billion, six hundred twenty-seven million, eight hundred forty-seven thousand, two hundred twenty-five".