128733852025 has 27 divisors (see below), whose sum is σ = 162011456589. Its totient is φ = 101472966720.

The previous prime is 128733852019. The next prime is 128733852031. The reversal of 128733852025 is 520258337821.

The square root of 128733852025 is 358795.

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

It is an interprime number because it is at equal distance from previous prime (128733852019) and next prime (128733852031).

It can be written as a sum of positive squares in 4 ways, for example, as 704424681 + 128029427344 = 26541^2 + 357812^2 .

It is not a de Polignac number, because 128733852025 - 2³³ = 120143917433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130959684 + ... + 130960666.

Almost surely, 2^128733852025 is an apocalyptic number.

128733852025 is the 358795-th square number.

128733852025 is the 179398-th centered octagonal number.

It is an amenable number.

128733852025 is a deficient number, since it is larger than the sum of its proper divisors (33277604564).

128733852025 is an frugal number, since it uses more digits than its factorization.

128733852025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 128733852025 in words is "one hundred twenty-eight billion, seven hundred thirty-three million, eight hundred fifty-two thousand, twenty-five".