689672116225 has 45 divisors (see below), whose sum is σ = 892248587097. Its totient is φ = 528813537120.

The previous prime is 689672116223. The next prime is 689672116241. The reversal of 689672116225 is 522611276986.

The square root of 689672116225 is 830465.

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 65470992129 + 624201124096 = 255873^2 + 790064^2 .

It is not a de Polignac number, because 689672116225 - 2¹ = 689672116223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (689672116223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10293613642 + ... + 10293613708.

Almost surely, 2^689672116225 is an apocalyptic number.

689672116225 is the 830465-th square number.

689672116225 is the 415233-rd centered octagonal number.

It is an amenable number.

689672116225 is a deficient number, since it is larger than the sum of its proper divisors (202576470872).

689672116225 is an frugal number, since it uses more digits than its factorization.

689672116225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 109 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 689672116225 in words is "six hundred eighty-nine billion, six hundred seventy-two million, one hundred sixteen thousand, two hundred twenty-five".