71171216253 has 48 divisors (see below), whose sum is σ = 109916913600. Its totient is φ = 44243781120.

The previous prime is 71171216219. The next prime is 71171216257. The reversal of 71171216253 is 35261217117.

71171216253 is a `hidden beast` number, since 7 + 1 + 1 + 7 + 1 + 21 + 625 + 3 = 666.

It is not a de Polignac number, because 71171216253 - 2¹⁰ = 71171215229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71171216257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27277813 + ... + 27280421.

It is an arithmetic number, because the mean of its divisors is an integer number (2289935700).

Almost surely, 2^71171216253 is an apocalyptic number.

It is an amenable number.

71171216253 is a deficient number, since it is larger than the sum of its proper divisors (38745697347).

71171216253 is a wasteful number, since it uses less digits than its factorization.

71171216253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5079 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The spelling of 71171216253 in words is "seventy-one billion, one hundred seventy-one million, two hundred sixteen thousand, two hundred fifty-three".