668032608137 has 2 divisors, whose sum is σ = 668032608138. Its totient is φ = 668032608136.

The previous prime is 668032608079. The next prime is 668032608157. The reversal of 668032608137 is 731806230866.

668032608137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 343555410496 + 324477197641 = 586136^2 + 569629^2 .

It is a cyclic number.

It is not a de Polignac number, because 668032608137 - 2¹⁶ = 668032542601 is a prime.

It is a super-2 number, since 2×668032608137² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (668032608157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 334016304068 + 334016304069.

It is an arithmetic number, because the mean of its divisors is an integer number (334016304069).

Almost surely, 2^668032608137 is an apocalyptic number.

It is an amenable number.

668032608137 is a deficient number, since it is larger than the sum of its proper divisors (1).

668032608137 is an equidigital number, since it uses as much as digits as its factorization.

668032608137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 668032608137 in words is "six hundred sixty-eight billion, thirty-two million, six hundred eight thousand, one hundred thirty-seven".