71206273901161 has 27 divisors (see below), whose sum is σ = 82982887015959. Its totient is φ = 60922815580368.

The previous prime is 71206273901117. The next prime is 71206273901171. The reversal of 71206273901161 is 16110937260217.

The square root of 71206273901161 is 8438381.

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

It can be written as a sum of positive squares in only one way, i.e., 1151047891161 + 70055226010000 = 1072869^2 + 8369900^2 .

It is not a de Polignac number, because 71206273901161 - 2²¹ = 71206271804009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71206273901101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64207640475 + ... + 64207641583.

Almost surely, 2^{71206273901161} is an apocalyptic number.

71206273901161 is the 8438381-st square number.

71206273901161 is the 4219191-st centered octagonal number.

It is an amenable number.

71206273901161 is a deficient number, since it is larger than the sum of its proper divisors (11776613114798).

71206273901161 is an frugal number, since it uses more digits than its factorization.

71206273901161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 71206273901161 in words is "seventy-one trillion, two hundred six billion, two hundred seventy-three million, nine hundred one thousand, one hundred sixty-one".