6807075025 has 27 divisors (see below), whose sum is σ = 8757261331. Its totient is φ = 5248638080.

The previous prime is 6807075013. The next prime is 6807075047. The reversal of 6807075025 is 5205707086.

The square root of 6807075025 is 82505.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6210543249 + 596531776 = 78807^2 + 24424^2 .

It is not a de Polignac number, because 6807075025 - 2⁹ = 6807074513 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11962941 + ... + 11963509.

Almost surely, 2^6807075025 is an apocalyptic number.

6807075025 is the 82505-th square number.

6807075025 is the 41253-rd centered octagonal number.

It is an amenable number.

6807075025 is a deficient number, since it is larger than the sum of its proper divisors (1950186306).

6807075025 is an frugal number, since it uses more digits than its factorization.

6807075025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The cubic root of 6807075025 is about 1895.1933002019.

The spelling of 6807075025 in words is "six billion, eight hundred seven million, seventy-five thousand, twenty-five".