688418593 has 2 divisors, whose sum is σ = 688418594. Its totient is φ = 688418592.

The previous prime is 688418579. The next prime is 688418597. The reversal of 688418593 is 395814886.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 682620129 + 5798464 = 26127^2 + 2408^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-688418593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 688418593.

It is not a weakly prime, because it can be changed into another prime (688418597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344209296 + 344209297.

It is an arithmetic number, because the mean of its divisors is an integer number (344209297).

Almost surely, 2^688418593 is an apocalyptic number.

It is an amenable number.

688418593 is a deficient number, since it is larger than the sum of its proper divisors (1).

688418593 is an equidigital number, since it uses as much as digits as its factorization.

688418593 is an evil number, because the sum of its binary digits is even.

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

The square root of 688418593 is about 26237.7322381337. The cubic root of 688418593 is about 882.9799941343.

The spelling of 688418593 in words is "six hundred eighty-eight million, four hundred eighteen thousand, five hundred ninety-three".