8173064025 has 225 divisors, whose sum is σ = 18102787373. Its totient is φ = 3645129600.

The previous prime is 8173063999. The next prime is 8173064027. The reversal of 8173064025 is 5204603718.

The square root of 8173064025 is 90405.

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

8173064025 is a `hidden beast` number, since 8 + 1 + 7 + 3 + 0 + 640 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3440174409 + 4732889616 = 58653^2 + 68796^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 8173064025 - 2⁵ = 8173063993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8173064027) by changing a digit.

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 224 ways as a sum of consecutive naturals, for example, 199343005 + ... + 199343045.

Almost surely, 2^8173064025 is an apocalyptic number.

8173064025 is the 90405-th square number.

8173064025 is the 45203-rd centered octagonal number.

It is an amenable number.

8173064025 is an abundant number, since it is smaller than the sum of its proper divisors (9929723348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8173064025 is an frugal number, since it uses more digits than its factorization.

8173064025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 8173064025 is about 2014.3192371385.

Multiplying 8173064025 by its sum of digits (36), we get a square (294230304900 = 542430²).

The spelling of 8173064025 in words is "eight billion, one hundred seventy-three million, sixty-four thousand, twenty-five".