71753316601 has 2 divisors, whose sum is σ = 71753316602. Its totient is φ = 71753316600.

The previous prime is 71753316587. The next prime is 71753316611. The reversal of 71753316601 is 10661335717.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44808422400 + 26944894201 = 211680^2 + 164149^2 .

It is an emirp because it is prime and its reverse (10661335717) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71753316601 - 2²⁹ = 71216445689 is a prime.

It is not a weakly prime, because it can be changed into another prime (71753316611) 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, 35876658300 + 35876658301.

It is an arithmetic number, because the mean of its divisors is an integer number (35876658301).

Almost surely, 2^71753316601 is an apocalyptic number.

It is an amenable number.

71753316601 is a deficient number, since it is larger than the sum of its proper divisors (1).

71753316601 is an equidigital number, since it uses as much as digits as its factorization.

71753316601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 71753316601 in words is "seventy-one billion, seven hundred fifty-three million, three hundred sixteen thousand, six hundred one".