200397120756561 has 9 divisors (see below), whose sum is σ = 289462569102889. Its totient is φ = 133598052192036.

The previous prime is 200397120756517. The next prime is 200397120756577. The reversal of 200397120756561 is 165657021793002.

It is a happy number.

The square root of 200397120756561 is 14156169.

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

200397120756561 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 9 + 7 + 1 + 2 + 0 + 75 + 6 + 561 = 666.

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

It is not a de Polignac number, because 200397120756561 - 2¹⁹ = 200397120232273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200397120756498 and 200397120756507.

It is not an unprimeable number, because it can be changed into a prime (200397120756361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40109146 + ... + 44827868.

Almost surely, 2^{200397120756561} is an apocalyptic number.

200397120756561 is the 14156169-th square number.

200397120756561 is the 7078085-th centered octagonal number.

It is an amenable number.

200397120756561 is a deficient number, since it is larger than the sum of its proper divisors (89065448346328).

200397120756561 is an frugal number, since it uses more digits than its factorization.

200397120756561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437452 (or 4718726 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 200397120756561 in words is "two hundred trillion, three hundred ninety-seven billion, one hundred twenty million, seven hundred fifty-six thousand, five hundred sixty-one".