973034280625 has 135 divisors (see below), whose sum is σ = 1426491129063. Its totient is φ = 662877600000.

The previous prime is 973034280599. The next prime is 973034280719. The reversal of 973034280625 is 526082430379.

The square root of 973034280625 is 986425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 475185499569 + 497848781056 = 689337^2 + 705584^2 .

It is not a de Polignac number, because 973034280625 - 2⁵ = 973034280593 is a prime.

It is a super-2 number, since 2×973034280625² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4611536770 + ... + 4611536980.

Almost surely, 2^973034280625 is an apocalyptic number.

973034280625 is the 986425-th square number.

973034280625 is the 493213-rd centered octagonal number.

It is an amenable number.

973034280625 is a deficient number, since it is larger than the sum of its proper divisors (453456848438).

973034280625 is an equidigital number, since it uses as much as digits as its factorization.

973034280625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 973034280625 by its sum of digits (49), we get a square (47678679750625 = 6904975²).

The spelling of 973034280625 in words is "nine hundred seventy-three billion, thirty-four million, two hundred eighty thousand, six hundred twenty-five".