689240342025 has 135 divisors (see below), whose sum is σ = 1348832416503. Its totient is φ = 347889103200.

The previous prime is 689240342003. The next prime is 689240342029. The reversal of 689240342025 is 520243042986.

The square root of 689240342025 is 830205.

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

689240342025 is a `hidden beast` number, since 68 + 9 + 240 + 342 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 248126523129 + 441113818896 = 498123^2 + 664164^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 689240342025 - 2⁷ = 689240341897 is a prime.

It is a super-2 number, since 2×689240342025² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (689240342029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 709824790 + ... + 709825760.

Almost surely, 2^689240342025 is an apocalyptic number.

689240342025 is the 830205-th square number.

689240342025 is the 415103-rd centered octagonal number.

It is an amenable number.

689240342025 is a deficient number, since it is larger than the sum of its proper divisors (659592074478).

689240342025 is an frugal number, since it uses more digits than its factorization.

689240342025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 689240342025 in words is "six hundred eighty-nine billion, two hundred forty million, three hundred forty-two thousand, twenty-five".