71901971127009 has 15 divisors (see below), whose sum is σ = 107409231364897. Its totient is φ = 47934596540988.

The previous prime is 71901971126983. The next prime is 71901971127079. The reversal of 71901971127009 is 90072117910917.

The square root of 71901971127009 is 8479503.

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

It is not a de Polignac number, because 71901971127009 - 2⁵ = 71901971126977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71901971127079) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 75844444 + ... + 76786610.

Almost surely, 2^{71901971127009} is an apocalyptic number.

71901971127009 is the 8479503-rd square number.

71901971127009 is the 4239752-nd centered octagonal number.

It is an amenable number.

71901971127009 is a deficient number, since it is larger than the sum of its proper divisors (35507260237888).

71901971127009 is an frugal number, since it uses more digits than its factorization.

71901971127009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884346 (or 942170 counting only the distinct ones).

The product of its (nonzero) digits is 500094, while the sum is 54.

The spelling of 71901971127009 in words is "seventy-one trillion, nine hundred one billion, nine hundred seventy-one million, one hundred twenty-seven thousand, nine".