973128025 has 27 divisors (see below), whose sum is σ = 1285337469. Its totient is φ = 730711680.

The previous prime is 973128007. The next prime is 973128041. The reversal of 973128025 is 520821379.

The square root of 973128025 is 31195.

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 22762441 + 950365584 = 4771^2 + 30828^2 .

It is not a de Polignac number, because 973128025 - 2¹¹ = 973125977 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2651392 + ... + 2651758.

Almost surely, 2^973128025 is an apocalyptic number.

973128025 is the 31195-th square number.

973128025 is the 15598-th centered octagonal number.

It is an amenable number.

973128025 is a deficient number, since it is larger than the sum of its proper divisors (312209444).

973128025 is an equidigital number, since it uses as much as digits as its factorization.

973128025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 973128025 is about 990.9612216404.

The spelling of 973128025 in words is "nine hundred seventy-three million, one hundred twenty-eight thousand, twenty-five".