689325025 has 27 divisors (see below), whose sum is σ = 879375481. Its totient is φ = 536022080.

The previous prime is 689325017. The next prime is 689325029. The reversal of 689325025 is 520523986.

The square root of 689325025 is 26255.

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 143448529 + 545876496 = 11977^2 + 23364^2 .

It is not a de Polignac number, because 689325025 - 2³ = 689325017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (689325029) 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 26 ways as a sum of consecutive naturals, for example, 7745181 + ... + 7745269.

Almost surely, 2^689325025 is an apocalyptic number.

689325025 is the 26255-th square number.

689325025 is the 13128-th centered octagonal number.

It is an amenable number.

689325025 is a deficient number, since it is larger than the sum of its proper divisors (190050456).

689325025 is an frugal number, since it uses more digits than its factorization.

689325025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The cubic root of 689325025 is about 883.3673603442.

Multiplying 689325025 by its product of nonzero digits (129600), we get a square (89336523240000 = 9451800²).

The spelling of 689325025 in words is "six hundred eighty-nine million, three hundred twenty-five thousand, twenty-five".