71311590055161 has 45 divisors (see below), whose sum is σ = 107012924403231. Its totient is φ = 47325266242848.

The previous prime is 71311590055117. The next prime is 71311590055177. The reversal of 71311590055161 is 16155009511317.

The square root of 71311590055161 is 8444619.

It is a perfect power (a square), and thus also a powerful number.

71311590055161 is a `hidden beast` number, since 7 + 1 + 3 + 1 + 1 + 5 + 90 + 0 + 551 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14481944415225 + 56829645639936 = 3805515^2 + 7538544^2 .

It is a de Polignac number, because none of the positive numbers 2^k-71311590055161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71311590055261) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17708364030 + ... + 17708368056.

Almost surely, 2^{71311590055161} is an apocalyptic number.

71311590055161 is the 8444619-th square number.

71311590055161 is the 4222310-th centered octagonal number.

It is an amenable number.

71311590055161 is a deficient number, since it is larger than the sum of its proper divisors (35701334348070).

71311590055161 is an frugal number, since it uses more digits than its factorization.

71311590055161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 45.

Adding to 71311590055161 its reverse (16155009511317), we get a palindrome (87466599566478).

The spelling of 71311590055161 in words is "seventy-one trillion, three hundred eleven billion, five hundred ninety million, fifty-five thousand, one hundred sixty-one".