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688881319381 is a prime number
BaseRepresentation
bin10100000011001001000…
…01101011110111010101
32102212010022201220022001
422001210201223313111
542241312104210011
61244245005235301
7100525056413023
oct12014441536725
92385108656261
10688881319381
11246175600352
12b1614b62b31
134cc65a8b098
14254b077d713
1512dbcdc37c1
hexa06486bdd5

688881319381 has 2 divisors, whose sum is σ = 688881319382. Its totient is φ = 688881319380.

The previous prime is 688881319349. The next prime is 688881319397. The reversal of 688881319381 is 183913188886.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 664984797156 + 23896522225 = 815466^2 + 154585^2 .

It is a cyclic number.

It is not a de Polignac number, because 688881319381 - 25 = 688881319349 is a prime.

It is a super-3 number, since 3×6888813193813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688881319081) 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, 344440659690 + 344440659691.

It is an arithmetic number, because the mean of its divisors is an integer number (344440659691).

Almost surely, 2688881319381 is an apocalyptic number.

It is an amenable number.

688881319381 is a deficient number, since it is larger than the sum of its proper divisors (1).

688881319381 is an equidigital number, since it uses as much as digits as its factorization.

688881319381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15925248, while the sum is 64.

The spelling of 688881319381 in words is "six hundred eighty-eight billion, eight hundred eighty-one million, three hundred nineteen thousand, three hundred eighty-one".