128353810225 has 27 divisors (see below), whose sum is σ = 161376817707. Its totient is φ = 101271484080.

The previous prime is 128353810219. The next prime is 128353810241. The reversal of 128353810225 is 522018353821.

The square root of 128353810225 is 358265.

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

It can be written as a sum of positive squares in only one way, i.e., 46207371681 + 82146438544 = 214959^2 + 286612^2 .

It is not a de Polignac number, because 128353810225 - 2¹⁹ = 128353285937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141514222 + ... + 141515128.

Almost surely, 2^128353810225 is an apocalyptic number.

128353810225 is the 358265-th square number.

128353810225 is the 179133-rd centered octagonal number.

It is an amenable number.

128353810225 is a deficient number, since it is larger than the sum of its proper divisors (33023007482).

128353810225 is an frugal number, since it uses more digits than its factorization.

128353810225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 128353810225 in words is "one hundred twenty-eight billion, three hundred fifty-three million, eight hundred ten thousand, two hundred twenty-five".