71757645161 has 2 divisors, whose sum is σ = 71757645162. Its totient is φ = 71757645160.

The previous prime is 71757645151. The next prime is 71757645181. The reversal of 71757645161 is 16154675717.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42197376400 + 29560268761 = 205420^2 + 171931^2 .

It is a cyclic number.

It is not a de Polignac number, because 71757645161 - 2³⁴ = 54577775977 is a prime.

It is not a weakly prime, because it can be changed into another prime (71757645131) 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, 35878822580 + 35878822581.

It is an arithmetic number, because the mean of its divisors is an integer number (35878822581).

Almost surely, 2^71757645161 is an apocalyptic number.

It is an amenable number.

71757645161 is a deficient number, since it is larger than the sum of its proper divisors (1).

71757645161 is an equidigital number, since it uses as much as digits as its factorization.

71757645161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1234800, while the sum is 50.

The spelling of 71757645161 in words is "seventy-one billion, seven hundred fifty-seven million, six hundred forty-five thousand, one hundred sixty-one".