688594605125 has 108 divisors (see below), whose sum is σ = 1047296194308. Its totient is φ = 450669912000.

The previous prime is 688594605113. The next prime is 688594605131. The reversal of 688594605125 is 521506495886.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 346847967844 + 341746637281 = 588938^2 + 584591^2 .

It is a de Polignac number, because none of the positive numbers 2^k-688594605125 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1493697395 + ... + 1493697855.

Almost surely, 2^688594605125 is an apocalyptic number.

It is an amenable number.

688594605125 is a deficient number, since it is larger than the sum of its proper divisors (358701589183).

688594605125 is an frugal number, since it uses more digits than its factorization.

688594605125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 59.

The spelling of 688594605125 in words is "six hundred eighty-eight billion, five hundred ninety-four million, six hundred five thousand, one hundred twenty-five".