10171005287971 has 32 divisors (see below), whose sum is σ = 11460311216640. Its totient is φ = 8946552384000.

The previous prime is 10171005287921. The next prime is 10171005287981. The reversal of 10171005287971 is 17978250017101.

It is not a de Polignac number, because 10171005287971 - 2⁷ = 10171005287843 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10171005287921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273388171 + ... + 273425371.

It is an arithmetic number, because the mean of its divisors is an integer number (358134725520).

Almost surely, 2^{10171005287971} is an apocalyptic number.

10171005287971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10171005287971 is a deficient number, since it is larger than the sum of its proper divisors (1289305928669).

10171005287971 is a wasteful number, since it uses less digits than its factorization.

10171005287971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42667.

The product of its (nonzero) digits is 246960, while the sum is 49.

The spelling of 10171005287971 in words is "ten trillion, one hundred seventy-one billion, five million, two hundred eighty-seven thousand, nine hundred seventy-one".