688361593 has 2 divisors, whose sum is σ = 688361594. Its totient is φ = 688361592.

The previous prime is 688361591. The next prime is 688361599. The reversal of 688361593 is 395163886.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 585785209 + 102576384 = 24203^2 + 10128^2 .

It is a cyclic number.

It is not a de Polignac number, because 688361593 - 2¹ = 688361591 is a prime.

Together with 688361591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (688361591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344180796 + 344180797.

It is an arithmetic number, because the mean of its divisors is an integer number (344180797).

Almost surely, 2^688361593 is an apocalyptic number.

It is an amenable number.

688361593 is a deficient number, since it is larger than the sum of its proper divisors (1).

688361593 is an equidigital number, since it uses as much as digits as its factorization.

688361593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 933120, while the sum is 49.

The square root of 688361593 is about 26236.6459937241. The cubic root of 688361593 is about 882.9556236668.

The spelling of 688361593 in words is "six hundred eighty-eight million, three hundred sixty-one thousand, five hundred ninety-three".