688501307353221 has 12 divisors (see below), whose sum is σ = 994527284119980. Its totient is φ = 458989150466880.

The previous prime is 688501307353117. The next prime is 688501307353229. The reversal of 688501307353221 is 122353703105886.

688501307353221 is a `hidden beast` number, since 6 + 8 + 8 + 5 + 0 + 1 + 30 + 73 + 532 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110681151701121 + 577820155652100 = 10520511^2 + 24037890^2 .

It is not a de Polignac number, because 688501307353221 - 2¹⁷ = 688501307222149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688501307353229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976386466 + ... + 977091363.

It is an arithmetic number, because the mean of its divisors is an integer number (82877273676665).

Almost surely, 2^{688501307353221} is an apocalyptic number.

It is an amenable number.

688501307353221 is a deficient number, since it is larger than the sum of its proper divisors (306025976766759).

688501307353221 is a wasteful number, since it uses less digits than its factorization.

688501307353221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953516996 (or 1953516993 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 688501307353221 in words is "six hundred eighty-eight trillion, five hundred one billion, three hundred seven million, three hundred fifty-three thousand, two hundred twenty-one".