7173960480625 has 15 divisors (see below), whose sum is σ = 8964664691367. Its totient is φ = 5739114816000.

The previous prime is 7173960480439. The next prime is 7173960480641. The reversal of 7173960480625 is 5260840693717.

The square root of 7173960480625 is 2678425.

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

7173960480625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 2818124340529 + 4355836140096 = 1678727^2 + 2087064^2 .

It is not a de Polignac number, because 7173960480625 - 2¹⁷ = 7173960349553 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7173960480625.

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 14 ways as a sum of consecutive naturals, for example, 66907057 + ... + 67014193.

It is a 1-persistent number, because it is pandigital, but 2⋅7173960480625 = 14347920961250 is not.

Almost surely, 2^{7173960480625} is an apocalyptic number.

7173960480625 is the 2678425-th square number.

7173960480625 is the 1339213-rd centered octagonal number.

It is an amenable number.

7173960480625 is a deficient number, since it is larger than the sum of its proper divisors (1790704210742).

7173960480625 is an frugal number, since it uses more digits than its factorization.

7173960480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214294 (or 107142 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 7173960480625 in words is "seven trillion, one hundred seventy-three billion, nine hundred sixty million, four hundred eighty thousand, six hundred twenty-five".