71664805313 has 2 divisors, whose sum is σ = 71664805314. Its totient is φ = 71664805312.

The previous prime is 71664805279. The next prime is 71664805363. The reversal of 71664805313 is 31350846617.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70709191744 + 955613569 = 265912^2 + 30913^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71664805313 is a prime.

It is not a weakly prime, because it can be changed into another prime (71664805363) 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, 35832402656 + 35832402657.

It is an arithmetic number, because the mean of its divisors is an integer number (35832402657).

Almost surely, 2^71664805313 is an apocalyptic number.

It is an amenable number.

71664805313 is a deficient number, since it is larger than the sum of its proper divisors (1).

71664805313 is an equidigital number, since it uses as much as digits as its factorization.

71664805313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 71664805313 in words is "seventy-one billion, six hundred sixty-four million, eight hundred five thousand, three hundred thirteen".