10271813471089 has 9 divisors (see below), whose sum is σ = 10329460714251. Its totient is φ = 10214486226360.

The previous prime is 10271813471071. The next prime is 10271813471113. The reversal of 10271813471089 is 98017431817201.

The square root of 10271813471089 is 3204967.

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

It can be written as a sum of positive squares in only one way, i.e., 113187163489 + 10158626307600 = 336433^2 + 3187260^2 .

It is not a de Polignac number, because 10271813471089 - 2⁹ = 10271813470577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10271813471009) 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, 580090174 + ... + 580107880.

It is an arithmetic number, because the mean of its divisors is an integer number (1147717857139).

Almost surely, 2^{10271813471089} is an apocalyptic number.

10271813471089 is the 3204967-th square number.

10271813471089 is the 1602484-th centered octagonal number.

It is an amenable number.

10271813471089 is a deficient number, since it is larger than the sum of its proper divisors (57647243162).

10271813471089 is an frugal number, since it uses more digits than its factorization.

10271813471089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35776 (or 17888 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 52.

The spelling of 10271813471089 in words is "ten trillion, two hundred seventy-one billion, eight hundred thirteen million, four hundred seventy-one thousand, eighty-nine".