300868705225 has 27 divisors (see below), whose sum is σ = 410117708469. Its totient is φ = 218791663200.

The previous prime is 300868705153. The next prime is 300868705271. The reversal of 300868705225 is 522507868003.

It is a happy number.

The square root of 300868705225 is 548515.

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 87993509769 + 212875195456 = 296637^2 + 461384^2 .

It is not a de Polignac number, because 300868705225 - 2⁷ = 300868705097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30163339 + ... + 30173311.

Almost surely, 2^300868705225 is an apocalyptic number.

300868705225 is the 548515-th square number.

300868705225 is the 274258-th centered octagonal number.

It is an amenable number.

300868705225 is a deficient number, since it is larger than the sum of its proper divisors (109249003244).

300868705225 is an frugal number, since it uses more digits than its factorization.

300868705225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19978 (or 9989 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 300868705225 in words is "three hundred billion, eight hundred sixty-eight million, seven hundred five thousand, two hundred twenty-five".