688008001 has 2 divisors, whose sum is σ = 688008002. Its totient is φ = 688008000.

The previous prime is 688007953. The next prime is 688008047. The reversal of 688008001 is 100800886.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 675220225 + 12787776 = 25985^2 + 3576^2 .

It is a cyclic number.

It is not a de Polignac number, because 688008001 - 2²³ = 679619393 is a prime.

It is not a weakly prime, because it can be changed into another prime (688008091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344004000 + 344004001.

It is an arithmetic number, because the mean of its divisors is an integer number (344004001).

Almost surely, 2^688008001 is an apocalyptic number.

It is an amenable number.

688008001 is a deficient number, since it is larger than the sum of its proper divisors (1).

688008001 is an equidigital number, since it uses as much as digits as its factorization.

688008001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 688008001 is about 26229.9066143972. The cubic root of 688008001 is about 882.8044146121.

Adding to 688008001 its reverse (100800886), we get a palindrome (788808887).

The spelling of 688008001 in words is "six hundred eighty-eight million, eight thousand, one".