71134618561 has 2 divisors, whose sum is σ = 71134618562. Its totient is φ = 71134618560.

The previous prime is 71134618519. The next prime is 71134618571. The reversal of 71134618561 is 16581643117.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68824374336 + 2310244225 = 262344^2 + 48065^2 .

It is a cyclic number.

It is not a de Polignac number, because 71134618561 - 2¹⁵ = 71134585793 is a prime.

It is not a weakly prime, because it can be changed into another prime (71134618501) 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, 35567309280 + 35567309281.

It is an arithmetic number, because the mean of its divisors is an integer number (35567309281).

Almost surely, 2^71134618561 is an apocalyptic number.

It is an amenable number.

71134618561 is a deficient number, since it is larger than the sum of its proper divisors (1).

71134618561 is an equidigital number, since it uses as much as digits as its factorization.

71134618561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 43.

The spelling of 71134618561 in words is "seventy-one billion, one hundred thirty-four million, six hundred eighteen thousand, five hundred sixty-one".