680220810025 has 81 divisors (see below), whose sum is σ = 928811795823. Its totient is φ = 494061235200.

The previous prime is 680220810013. The next prime is 680220810053. The reversal of 680220810025 is 520018022086.

The square root of 680220810025 is 824755.

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 643802431129 + 36418378896 = 802373^2 + 190836^2 .

It is not a de Polignac number, because 680220810025 - 2²⁵ = 680187255593 is a prime.

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 80 ways as a sum of consecutive naturals, for example, 2173229269 + ... + 2173229581.

Almost surely, 2^680220810025 is an apocalyptic number.

680220810025 is the 824755-th square number.

680220810025 is the 412378-th centered octagonal number.

It is an amenable number.

680220810025 is a deficient number, since it is larger than the sum of its proper divisors (248590985798).

680220810025 is an equidigital number, since it uses as much as digits as its factorization.

680220810025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 680220810025 in words is "six hundred eighty billion, two hundred twenty million, eight hundred ten thousand, twenty-five".