71005314761 has 2 divisors, whose sum is σ = 71005314762. Its totient is φ = 71005314760.

The previous prime is 71005314623. The next prime is 71005314763. The reversal of 71005314761 is 16741350017.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46612810000 + 24392504761 = 215900^2 + 156181^2 .

It is a cyclic number.

It is not a de Polignac number, because 71005314761 - 2²² = 71001120457 is a prime.

Together with 71005314763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71005314763) 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, 35502657380 + 35502657381.

It is an arithmetic number, because the mean of its divisors is an integer number (35502657381).

Almost surely, 2^71005314761 is an apocalyptic number.

It is an amenable number.

71005314761 is a deficient number, since it is larger than the sum of its proper divisors (1).

71005314761 is an equidigital number, since it uses as much as digits as its factorization.

71005314761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 35.

Adding to 71005314761 its reverse (16741350017), we get a palindrome (87746664778).

The spelling of 71005314761 in words is "seventy-one billion, five million, three hundred fourteen thousand, seven hundred sixty-one".