71805506758841 has 2 divisors, whose sum is σ = 71805506758842. Its totient is φ = 71805506758840.

The previous prime is 71805506758787. The next prime is 71805506758883. The reversal of 71805506758841 is 14885760550817.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37381423981225 + 34424082777616 = 6114035^2 + 5867204^2 .

It is a cyclic number.

It is not a de Polignac number, because 71805506758841 - 2¹⁸ = 71805506496697 is a prime.

It is not a weakly prime, because it can be changed into another prime (71805506758441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35902753379420 + 35902753379421.

It is an arithmetic number, because the mean of its divisors is an integer number (35902753379421).

Almost surely, 2^{71805506758841} is an apocalyptic number.

It is an amenable number.

71805506758841 is a deficient number, since it is larger than the sum of its proper divisors (1).

71805506758841 is an equidigital number, since it uses as much as digits as its factorization.

71805506758841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264000, while the sum is 65.

The spelling of 71805506758841 in words is "seventy-one trillion, eight hundred five billion, five hundred six million, seven hundred fifty-eight thousand, eight hundred forty-one".