71331192241 has 9 divisors (see below), whose sum is σ = 72058241259. Its totient is φ = 70611414336.

The previous prime is 71331192239. The next prime is 71331192259. The reversal of 71331192241 is 14229113317.

It is a happy number.

The square root of 71331192241 is 267079.

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., 43074927025 + 28256265216 = 207545^2 + 168096^2 .

It is not a de Polignac number, because 71331192241 - 2¹ = 71331192239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71331192197 and 71331192206.

It is not an unprimeable number, because it can be changed into a prime (71331192221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27507841 + ... + 27510433.

It is an arithmetic number, because the mean of its divisors is an integer number (8006471251).

Almost surely, 2^71331192241 is an apocalyptic number.

71331192241 is the 267079-th square number.

71331192241 is the 133540-th centered octagonal number.

It is an amenable number.

71331192241 is a deficient number, since it is larger than the sum of its proper divisors (727049018).

71331192241 is an frugal number, since it uses more digits than its factorization.

71331192241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 2696 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The spelling of 71331192241 in words is "seventy-one billion, three hundred thirty-one million, one hundred ninety-two thousand, two hundred forty-one".