71753891273993 has 2 divisors, whose sum is σ = 71753891273994. Its totient is φ = 71753891273992.

The previous prime is 71753891273963. The next prime is 71753891274047. The reversal of 71753891273993 is 39937219835717.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51131466493129 + 20622424780864 = 7150627^2 + 4541192^2 .

It is a cyclic number.

It is not a de Polignac number, because 71753891273993 - 2²⁸ = 71753622838537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71753891273993.

It is not a weakly prime, because it can be changed into another prime (71753891273963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35876945636996 + 35876945636997.

It is an arithmetic number, because the mean of its divisors is an integer number (35876945636997).

Almost surely, 2^{71753891273993} is an apocalyptic number.

It is an amenable number.

71753891273993 is a deficient number, since it is larger than the sum of its proper divisors (1).

71753891273993 is an equidigital number, since it uses as much as digits as its factorization.

71753891273993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540101520, while the sum is 74.

The spelling of 71753891273993 in words is "seventy-one trillion, seven hundred fifty-three billion, eight hundred ninety-one million, two hundred seventy-three thousand, nine hundred ninety-three".