10827443025 has 81 divisors (see below), whose sum is σ = 22582169883. Its totient is φ = 4944693600.

The previous prime is 10827443017. The next prime is 10827443041. The reversal of 10827443025 is 52034472801.

It is a happy number.

The square root of 10827443025 is 104055.

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

10827443025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3897879489 + 6929563536 = 62433^2 + 83244^2 .

It is not a de Polignac number, because 10827443025 - 2³ = 10827443017 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10925280 + ... + 10926270.

Almost surely, 2^10827443025 is an apocalyptic number.

10827443025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10827443025 is the 104055-th square number.

10827443025 is the 52028-th centered octagonal number.

It is an amenable number.

10827443025 is an abundant number, since it is smaller than the sum of its proper divisors (11754726858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10827443025 is an frugal number, since it uses more digits than its factorization.

10827443025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 10827443025 by its sum of digits (36), we get a square (389787948900 = 624330²).

The spelling of 10827443025 in words is "ten billion, eight hundred twenty-seven million, four hundred forty-three thousand, twenty-five".