208765126957 has 2 divisors, whose sum is σ = 208765126958. Its totient is φ = 208765126956.

The previous prime is 208765126901. The next prime is 208765126967. The reversal of 208765126957 is 759621567802.

208765126957 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., 200465734756 + 8299392201 = 447734^2 + 91101^2 .

It is a cyclic number.

It is not a de Polignac number, because 208765126957 - 2¹⁵ = 208765094189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208765126967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104382563478 + 104382563479.

It is an arithmetic number, because the mean of its divisors is an integer number (104382563479).

Almost surely, 2^208765126957 is an apocalyptic number.

It is an amenable number.

208765126957 is a deficient number, since it is larger than the sum of its proper divisors (1).

208765126957 is an equidigital number, since it uses as much as digits as its factorization.

208765126957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 208765126957 in words is "two hundred eight billion, seven hundred sixty-five million, one hundred twenty-six thousand, nine hundred fifty-seven".