6562947330625 has 45 divisors (see below), whose sum is σ = 9540659118837. Its totient is φ = 4499999322000.

The previous prime is 6562947330619. The next prime is 6562947330637. The reversal of 6562947330625 is 5260337492656.

The square root of 6562947330625 is 2561825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 514535070721 + 6048412259904 = 717311^2 + 2459352^2 .

It is not a de Polignac number, because 6562947330625 - 2⁹ = 6562947330113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6562947330625.

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 44 ways as a sum of consecutive naturals, for example, 448312056 + ... + 448326694.

Almost surely, 2^{6562947330625} is an apocalyptic number.

6562947330625 is the 2561825-th square number.

6562947330625 is the 1280913-rd centered octagonal number.

It is an amenable number.

6562947330625 is a deficient number, since it is larger than the sum of its proper divisors (2977711788212).

6562947330625 is an frugal number, since it uses more digits than its factorization.

6562947330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29312 (or 14651 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 58.

The spelling of 6562947330625 in words is "six trillion, five hundred sixty-two billion, nine hundred forty-seven million, three hundred thirty thousand, six hundred twenty-five".