688508629 has 2 divisors, whose sum is σ = 688508630. Its totient is φ = 688508628.

The previous prime is 688508627. The next prime is 688508651. The reversal of 688508629 is 926805886.

688508629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 629909604 + 58599025 = 25098^2 + 7655^2 .

It is a cyclic number.

It is not a de Polignac number, because 688508629 - 2¹ = 688508627 is a prime.

Together with 688508627, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688508627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344254314 + 344254315.

It is an arithmetic number, because the mean of its divisors is an integer number (344254315).

Almost surely, 2^688508629 is an apocalyptic number.

It is an amenable number.

688508629 is a deficient number, since it is larger than the sum of its proper divisors (1).

688508629 is an equidigital number, since it uses as much as digits as its factorization.

688508629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 52.

The square root of 688508629 is about 26239.4479553210. The cubic root of 688508629 is about 883.0184864712.

The spelling of 688508629 in words is "six hundred eighty-eight million, five hundred eight thousand, six hundred twenty-nine".