128310822025 has 27 divisors (see below), whose sum is σ = 164474584839. Its totient is φ = 99294426000.

The previous prime is 128310821957. The next prime is 128310822041. The reversal of 128310822025 is 520228013821.

The square root of 128310822025 is 358205.

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., 46191895929 + 82118926096 = 214923^2 + 286564^2 .

It is not a de Polignac number, because 128310822025 - 2¹¹ = 128310819977 is a prime.

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, 55520620 + ... + 55522930.

Almost surely, 2^128310822025 is an apocalyptic number.

128310822025 is the 358205-th square number.

128310822025 is the 179103-rd centered octagonal number.

It is an amenable number.

128310822025 is a deficient number, since it is larger than the sum of its proper divisors (36163762814).

128310822025 is an frugal number, since it uses more digits than its factorization.

128310822025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

Adding to 128310822025 its reverse (520228013821), we get a palindrome (648538835846).

The spelling of 128310822025 in words is "one hundred twenty-eight billion, three hundred ten million, eight hundred twenty-two thousand, twenty-five".