195728354187025 has 27 divisors (see below), whose sum is σ = 266773942755313. Its totient is φ = 142347334342400.

The previous prime is 195728354186993. The next prime is 195728354187089. The reversal of 195728354187025 is 520781453827591.

The square root of 195728354187025 is 13990295.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5734219312129 + 189994134874896 = 2394623^2 + 13783836^2 .

It is not a de Polignac number, because 195728354187025 - 2⁵ = 195728354186993 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 769339041 + ... + 769593409.

Almost surely, 2^{195728354187025} is an apocalyptic number.

195728354187025 is the 13990295-th square number.

195728354187025 is the 6995148-th centered octagonal number.

It is an amenable number.

195728354187025 is a deficient number, since it is larger than the sum of its proper divisors (71045588568288).

195728354187025 is an frugal number, since it uses more digits than its factorization.

195728354187025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508770 (or 254385 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 67.

The spelling of 195728354187025 in words is "one hundred ninety-five trillion, seven hundred twenty-eight billion, three hundred fifty-four million, one hundred eighty-seven thousand, twenty-five".