1271566007271 has 144 divisors (see below), whose sum is σ = 2312830540800. Its totient is φ = 669166033536.

The previous prime is 1271566007249. The next prime is 1271566007353. The reversal of 1271566007271 is 1727006651721.

1271566007271 is a `hidden beast` number, since 1 + 2 + 7 + 15 + 6 + 600 + 7 + 27 + 1 = 666.

It is not a de Polignac number, because 1271566007271 - 2¹⁰ = 1271566006247 is a prime.

It is a super-2 number, since 2×1271566007271² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271566007771) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107946060 + ... + 107957838.

It is an arithmetic number, because the mean of its divisors is an integer number (16061323200).

Almost surely, 2^{1271566007271} is an apocalyptic number.

1271566007271 is a deficient number, since it is larger than the sum of its proper divisors (1041264533529).

1271566007271 is a wasteful number, since it uses less digits than its factorization.

1271566007271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12218 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 1271566007271 in words is "one trillion, two hundred seventy-one billion, five hundred sixty-six million, seven thousand, two hundred seventy-one".