10711187112025 has 27 divisors (see below), whose sum is σ = 13756270023613. Its totient is φ = 8273102112800.

The previous prime is 10711187112011. The next prime is 10711187112061. The reversal of 10711187112025 is 52021178111701.

The square root of 10711187112025 is 3272795.

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

It can be written as a sum of positive squares in 4 ways, for example, as 147231061849 + 10563956050176 = 383707^2 + 3250224^2 .

It is not a de Polignac number, because 10711187112025 - 2¹⁹ = 10711186587737 is a prime.

It is a super-2 number, since 2×10711187112025² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 474543990 + ... + 474566560.

Almost surely, 2^{10711187112025} is an apocalyptic number.

10711187112025 is the 3272795-th square number.

10711187112025 is the 1636398-th centered octagonal number.

It is an amenable number.

10711187112025 is a deficient number, since it is larger than the sum of its proper divisors (3045082911588).

10711187112025 is an frugal number, since it uses more digits than its factorization.

10711187112025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45210 (or 22605 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 37.

The spelling of 10711187112025 in words is "ten trillion, seven hundred eleven billion, one hundred eighty-seven million, one hundred twelve thousand, twenty-five".