200090709225 has 81 divisors (see below), whose sum is σ = 394072336567. Its totient is φ = 96977892000.

The previous prime is 200090709211. The next prime is 200090709229. The reversal of 200090709225 is 522907090002.

The square root of 200090709225 is 447315.

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., 72032655321 + 128058053904 = 268389^2 + 357852^2 .

It is not a de Polignac number, because 200090709225 - 2⁵ = 200090709193 is a prime.

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 200090709225.

It is not an unprimeable number, because it can be changed into a prime (200090709229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73805620 + ... + 73808330.

Almost surely, 2^200090709225 is an apocalyptic number.

200090709225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

200090709225 is the 447315-th square number.

200090709225 is the 223658-th centered octagonal number.

It is an amenable number.

200090709225 is a deficient number, since it is larger than the sum of its proper divisors (193981627342).

200090709225 is an equidigital number, since it uses as much as digits as its factorization.

200090709225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 200090709225 by its sum of digits (36), we get a square (7203265532100 = 2683890²).

Adding to 200090709225 its reverse (522907090002), we get a palindrome (722997799227).

The spelling of 200090709225 in words is "two hundred billion, ninety million, seven hundred nine thousand, two hundred twenty-five".