688126471825 has 24 divisors (see below), whose sum is σ = 931501392248. Its totient is φ = 501193889280.

The previous prime is 688126471817. The next prime is 688126471829. The reversal of 688126471825 is 528174621886.

It can be written as a sum of positive squares in 12 ways, for example, as 257791783824 + 430334688001 = 507732^2 + 655999^2 .

It is not a de Polignac number, because 688126471825 - 2³ = 688126471817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 688126471825.

It is not an unprimeable number, because it can be changed into a prime (688126471829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14478414 + ... + 14525863.

Almost surely, 2^688126471825 is an apocalyptic number.

688126471825 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

688126471825 is a deficient number, since it is larger than the sum of its proper divisors (243374920423).

688126471825 is a wasteful number, since it uses less digits than its factorization.

688126471825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29004373 (or 29004368 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 58.

The spelling of 688126471825 in words is "six hundred eighty-eight billion, one hundred twenty-six million, four hundred seventy-one thousand, eight hundred twenty-five".