71755824916033 has 2 divisors, whose sum is σ = 71755824916034. Its totient is φ = 71755824916032.

The previous prime is 71755824915977. The next prime is 71755824916049. The reversal of 71755824916033 is 33061942855717.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36630964731904 + 35124860184129 = 6052352^2 + 5926623^2 .

It is a cyclic number.

It is not a de Polignac number, because 71755824916033 - 2⁹ = 71755824915521 is a prime.

It is not a weakly prime, because it can be changed into another prime (71755824919033) 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, 35877912458016 + 35877912458017.

It is an arithmetic number, because the mean of its divisors is an integer number (35877912458017).

It is a 1-persistent number, because it is pandigital, but 2⋅71755824916033 = 143511649832066 is not.

Almost surely, 2^{71755824916033} is an apocalyptic number.

It is an amenable number.

71755824916033 is a deficient number, since it is larger than the sum of its proper divisors (1).

71755824916033 is an equidigital number, since it uses as much as digits as its factorization.

71755824916033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 71755824916033 in words is "seventy-one trillion, seven hundred fifty-five billion, eight hundred twenty-four million, nine hundred sixteen thousand, thirty-three".