200749505760017 has 2 divisors, whose sum is σ = 200749505760018. Its totient is φ = 200749505760016.

The previous prime is 200749505759989. The next prime is 200749505760031. The reversal of 200749505760017 is 710067505947002.

200749505760017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197180123063056 + 3569382696961 = 14042084^2 + 1889281^2 .

It is a cyclic number.

It is not a de Polignac number, because 200749505760017 - 2²² = 200749501565713 is a prime.

It is not a weakly prime, because it can be changed into another prime (200749505763017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100374752880008 + 100374752880009.

It is an arithmetic number, because the mean of its divisors is an integer number (100374752880009).

Almost surely, 2^{200749505760017} is an apocalyptic number.

It is an amenable number.

200749505760017 is a deficient number, since it is larger than the sum of its proper divisors (1).

200749505760017 is an equidigital number, since it uses as much as digits as its factorization.

200749505760017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3704400, while the sum is 53.

The spelling of 200749505760017 in words is "two hundred trillion, seven hundred forty-nine billion, five hundred five million, seven hundred sixty thousand, seventeen".