10288113985081 has 9 divisors (see below), whose sum is σ = 10928954095149. Its totient is φ = 9682879489344.

The previous prime is 10288113985073. The next prime is 10288113985087. The reversal of 10288113985081 is 18058931188201.

It is a happy number.

The square root of 10288113985081 is 3207509.

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 5618279424681 + 4669834560400 = 2370291^2 + 2160980^2 .

It is not a de Polignac number, because 10288113985081 - 2³ = 10288113985073 is a prime.

It is a super-2 number, since 2×10288113985081² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10288113985087) 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, 54433315 + ... + 54621991.

Almost surely, 2^{10288113985081} is an apocalyptic number.

10288113985081 is the 3207509-th square number.

10288113985081 is the 1603755-th centered octagonal number.

It is an amenable number.

10288113985081 is a deficient number, since it is larger than the sum of its proper divisors (640840110068).

10288113985081 is an frugal number, since it uses more digits than its factorization.

10288113985081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377388 (or 188694 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 55.

The spelling of 10288113985081 in words is "ten trillion, two hundred eighty-eight billion, one hundred thirteen million, nine hundred eighty-five thousand, eighty-one".