688125000625 has 20 divisors (see below), whose sum is σ = 860257795012. Its totient is φ = 550258776000.

The previous prime is 688125000499. The next prime is 688125000637. The reversal of 688125000625 is 526000521886.

688125000625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 558378079009 + 129746921616 = 747247^2 + 360204^2 .

It is not a de Polignac number, because 688125000625 - 2¹⁵ = 688124967857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1193047 + ... + 1673203.

Almost surely, 2^688125000625 is an apocalyptic number.

It is an amenable number.

688125000625 is a deficient number, since it is larger than the sum of its proper divisors (172132794387).

688125000625 is an equidigital number, since it uses as much as digits as its factorization.

688125000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482470 (or 482455 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 688125000625 in words is "six hundred eighty-eight billion, one hundred twenty-five million, six hundred twenty-five", and thus it is an aban number.