65972758917757 has 2 divisors, whose sum is σ = 65972758917758. Its totient is φ = 65972758917756.

The previous prime is 65972758917677. The next prime is 65972758917841. The reversal of 65972758917757 is 75771985727956.

65972758917757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65960045453241 + 12713464516 = 8121579^2 + 112754^2 .

It is a cyclic number.

It is not a de Polignac number, because 65972758917757 - 2³¹ = 65970611434109 is a prime.

It is a super-2 number, since 2×65972758917757² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65972758912757) 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, 32986379458878 + 32986379458879.

It is an arithmetic number, because the mean of its divisors is an integer number (32986379458879).

Almost surely, 2^{65972758917757} is an apocalyptic number.

It is an amenable number.

65972758917757 is a deficient number, since it is larger than the sum of its proper divisors (1).

65972758917757 is an equidigital number, since it uses as much as digits as its factorization.

65972758917757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16336404000, while the sum is 85.

The spelling of 65972758917757 in words is "sixty-five trillion, nine hundred seventy-two billion, seven hundred fifty-eight million, nine hundred seventeen thousand, seven hundred fifty-seven".