680534253025 has 81 divisors (see below), whose sum is σ = 948734867577. Its totient is φ = 483879739200.

The previous prime is 680534253023. The next prime is 680534253029. The reversal of 680534253025 is 520352435086.

The square root of 680534253025 is 824945.

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 5126416801 + 675407836224 = 71599^2 + 821832^2 .

It is not a de Polignac number, because 680534253025 - 2¹ = 680534253023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (680534253023) by changing a digit.

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, 2404714534 + ... + 2404714816.

Almost surely, 2^680534253025 is an apocalyptic number.

680534253025 is the 824945-th square number.

680534253025 is the 412473-rd centered octagonal number.

It is an amenable number.

680534253025 is a deficient number, since it is larger than the sum of its proper divisors (268200614552).

680534253025 is an equidigital number, since it uses as much as digits as its factorization.

680534253025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 680534253025 in words is "six hundred eighty billion, five hundred thirty-four million, two hundred fifty-three thousand, twenty-five".