10271512517017 has 16 divisors (see below), whose sum is σ = 10752969169152. Its totient is φ = 9801332740480.

The previous prime is 10271512517003. The next prime is 10271512517053. The reversal of 10271512517017 is 71071521517201.

It is a cyclic number.

It is not a de Polignac number, because 10271512517017 - 2¹¹ = 10271512514969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10271512517417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184883 + ... + 4684759.

It is an arithmetic number, because the mean of its divisors is an integer number (672060573072).

Almost surely, 2^{10271512517017} is an apocalyptic number.

It is an amenable number.

10271512517017 is a deficient number, since it is larger than the sum of its proper divisors (481456652135).

10271512517017 is a wasteful number, since it uses less digits than its factorization.

10271512517017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501488.

The product of its (nonzero) digits is 34300, while the sum is 40.

The spelling of 10271512517017 in words is "ten trillion, two hundred seventy-one billion, five hundred twelve million, five hundred seventeen thousand, seventeen".