75285766758289 has 2 divisors, whose sum is σ = 75285766758290. Its totient is φ = 75285766758288.

The previous prime is 75285766758211. The next prime is 75285766758313. The reversal of 75285766758289 is 98285766758257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70413999603025 + 4871767155264 = 8391305^2 + 2207208^2 .

It is a cyclic number.

It is not a de Polignac number, because 75285766758289 - 2²¹ = 75285764661137 is a prime.

It is not a weakly prime, because it can be changed into another prime (75285766758089) 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 as a sum of consecutive naturals, namely, 37642883379144 + 37642883379145.

It is an arithmetic number, because the mean of its divisors is an integer number (37642883379145).

Almost surely, 2^{75285766758289} is an apocalyptic number.

It is an amenable number.

75285766758289 is a deficient number, since it is larger than the sum of its proper divisors (1).

75285766758289 is an equidigital number, since it uses as much as digits as its factorization.

75285766758289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28449792000, while the sum is 85.

The spelling of 75285766758289 in words is "seventy-five trillion, two hundred eighty-five billion, seven hundred sixty-six million, seven hundred fifty-eight thousand, two hundred eighty-nine".