200300813756289 has 9 divisors (see below), whose sum is σ = 289323458976643. Its totient is φ = 133533847531992.

The previous prime is 200300813756237. The next prime is 200300813756291. The reversal of 200300813756289 is 982657318003002.

The square root of 200300813756289 is 14152767.

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

200300813756289 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 0 + 0 + 8 + 1 + 3 + 7 + 5 + 628 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31992225131889 + 168308588624400 = 5656167^2 + 12973380^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 200300813756289 - 2¹⁷ = 200300813625217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200300813756489) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40099507 + ... + 44817095.

Almost surely, 2^{200300813756289} is an apocalyptic number.

200300813756289 is the 14152767-th square number.

200300813756289 is the 7076384-th centered octagonal number.

It is an amenable number.

200300813756289 is a deficient number, since it is larger than the sum of its proper divisors (89022645220354).

200300813756289 is an frugal number, since it uses more digits than its factorization.

200300813756289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9435184 (or 4717592 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 200300813756289 in words is "two hundred trillion, three hundred billion, eight hundred thirteen million, seven hundred fifty-six thousand, two hundred eighty-nine".