10171130586841 has 9 divisors (see below), whose sum is σ = 11831749305141. Its totient is φ = 8718092796252.

The previous prime is 10171130586761. The next prime is 10171130586887. The reversal of 10171130586841 is 14868503117101.

The square root of 10171130586841 is 3189221.

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

It is not a de Polignac number, because 10171130586841 - 2⁷ = 10171130586713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10171130586791 and 10171130586800.

It is not an unprimeable number, because it can be changed into a prime (10171130586041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22096746 + ... + 22552348.

Almost surely, 2^{10171130586841} is an apocalyptic number.

10171130586841 is the 3189221-st square number.

10171130586841 is the 1594611-st centered octagonal number.

It is an amenable number.

10171130586841 is a deficient number, since it is larger than the sum of its proper divisors (1660618718300).

10171130586841 is an frugal number, since it uses more digits than its factorization.

10171130586841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911220 (or 455610 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The spelling of 10171130586841 in words is "ten trillion, one hundred seventy-one billion, one hundred thirty million, five hundred eighty-six thousand, eight hundred forty-one".