128017262025 has 45 divisors (see below), whose sum is σ = 237162050103. Its totient is φ = 68267286000.

The previous prime is 128017261993. The next prime is 128017262039. The reversal of 128017262025 is 520262710821.

It is a happy number.

The square root of 128017262025 is 357795.

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

128017262025 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 1 + 7 + 2 + 620 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46086214329 + 81931047696 = 214677^2 + 286236^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 128017262025 - 2⁵ = 128017261993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16096800 + ... + 16104750.

Almost surely, 2^128017262025 is an apocalyptic number.

128017262025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

128017262025 is the 357795-th square number.

128017262025 is the 178898-th centered octagonal number.

It is an amenable number.

128017262025 is a deficient number, since it is larger than the sum of its proper divisors (109144788078).

128017262025 is an frugal number, since it uses more digits than its factorization.

128017262025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 128017262025 by its sum of digits (36), we get a square (4608621432900 = 2146770²).

Adding to 128017262025 its reverse (520262710821), we get a palindrome (648279972846).

The spelling of 128017262025 in words is "one hundred twenty-eight billion, seventeen million, two hundred sixty-two thousand, twenty-five".