71681332204201 has 8 divisors (see below), whose sum is σ = 73152951818760. Its totient is φ = 70214125243392.

The previous prime is 71681332204063. The next prime is 71681332204243. The reversal of 71681332204201 is 10240223318617.

It can be written as a sum of positive squares in 4 ways, for example, as 24430002601 + 71656902201600 = 156301^2 + 8465040^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71681332204201 - 2¹³ = 71681332196009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71681332204901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1103130616 + ... + 1103195593.

It is an arithmetic number, because the mean of its divisors is an integer number (9144118977345).

Almost surely, 2^{71681332204201} is an apocalyptic number.

It is an amenable number.

71681332204201 is a deficient number, since it is larger than the sum of its proper divisors (1471619614559).

71681332204201 is a wasteful number, since it uses less digits than its factorization.

71681332204201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206326875.

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 71681332204201 in words is "seventy-one trillion, six hundred eighty-one billion, three hundred thirty-two million, two hundred four thousand, two hundred one".