6308330625 has 75 divisors (see below), whose sum is σ = 11809128463. Its totient is φ = 3354912000.

The previous prime is 6308330599. The next prime is 6308330629. The reversal of 6308330625 is 5260338036.

It is a happy number.

The square root of 6308330625 is 79425.

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 5318347329 + 989983296 = 72927^2 + 31464^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 6308330625 - 2²³ = 6299942017 is a prime.

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 6308330625.

It is not an unprimeable number, because it can be changed into a prime (6308330629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 17870449 + ... + 17870801.

Almost surely, 2^6308330625 is an apocalyptic number.

6308330625 is the 79425-th square number.

6308330625 is the 39713-rd centered octagonal number.

It is an amenable number.

6308330625 is a deficient number, since it is larger than the sum of its proper divisors (5500797838).

6308330625 is an frugal number, since it uses more digits than its factorization.

6308330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The cubic root of 6308330625 is about 1847.7284635402.

Multiplying 6308330625 by its sum of digits (36), we get a square (227099902500 = 476550²).

The spelling of 6308330625 in words is "six billion, three hundred eight million, three hundred thirty thousand, six hundred twenty-five".