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667687257317 is a prime number
BaseRepresentation
bin10011011011101010100…
…00110000010011100101
32100211102021100222211102
421231311100300103211
541414410414213232
61230421543045445
766144625021433
oct11556520602345
92324367328742
10667687257317
1123818a060883
12a949b140885
134ac68bba962
142445da71d53
151257c3e1662
hex9b754304e5

667687257317 has 2 divisors, whose sum is σ = 667687257318. Its totient is φ = 667687257316.

The previous prime is 667687257311. The next prime is 667687257353. The reversal of 667687257317 is 713752786766.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 586880098561 + 80807158756 = 766081^2 + 284266^2 .

It is a cyclic number.

It is not a de Polignac number, because 667687257317 - 24 = 667687257301 is a prime.

It is a super-3 number, since 3×6676872573173 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (667687257311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 333843628658 + 333843628659.

It is an arithmetic number, because the mean of its divisors is an integer number (333843628659).

Almost surely, 2667687257317 is an apocalyptic number.

It is an amenable number.

667687257317 is a deficient number, since it is larger than the sum of its proper divisors (1).

667687257317 is an equidigital number, since it uses as much as digits as its factorization.

667687257317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124467840, while the sum is 65.

The spelling of 667687257317 in words is "six hundred sixty-seven billion, six hundred eighty-seven million, two hundred fifty-seven thousand, three hundred seventeen".