71606037516121 has 2 divisors, whose sum is σ = 71606037516122. Its totient is φ = 71606037516120.

The previous prime is 71606037516077. The next prime is 71606037516173. The reversal of 71606037516121 is 12161573060617.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62266870956096 + 9339166560025 = 7890936^2 + 3056005^2 .

It is a cyclic number.

It is not a de Polignac number, because 71606037516121 - 2¹⁵ = 71606037483353 is a prime.

It is a super-2 number, since 2×71606037516121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (71606037516191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35803018758060 + 35803018758061.

It is an arithmetic number, because the mean of its divisors is an integer number (35803018758061).

Almost surely, 2^{71606037516121} is an apocalyptic number.

It is an amenable number.

71606037516121 is a deficient number, since it is larger than the sum of its proper divisors (1).

71606037516121 is an equidigital number, since it uses as much as digits as its factorization.

71606037516121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 71606037516121 in words is "seventy-one trillion, six hundred six billion, thirty-seven million, five hundred sixteen thousand, one hundred twenty-one".