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135664656481 is a prime number
BaseRepresentation
bin111111001011000111…
…1100110000001100001
3110222011200222121110201
41332112033212001201
54210320123001411
6142153512225201
712541616360554
oct1762617460141
9428150877421
10135664656481
1152598186412
122236199b201
13ca40649583
1467cd94469b
1537e030a3c1
hex1f963e6061

135664656481 has 2 divisors, whose sum is σ = 135664656482. Its totient is φ = 135664656480.

The previous prime is 135664656431. The next prime is 135664656503. The reversal of 135664656481 is 184656466531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135656675856 + 7980625 = 368316^2 + 2825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135664656481 is a prime.

It is a super-2 number, since 2×1356646564812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135664656431) 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, 67832328240 + 67832328241.

It is an arithmetic number, because the mean of its divisors is an integer number (67832328241).

Almost surely, 2135664656481 is an apocalyptic number.

It is an amenable number.

135664656481 is a deficient number, since it is larger than the sum of its proper divisors (1).

135664656481 is an equidigital number, since it uses as much as digits as its factorization.

135664656481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12441600, while the sum is 55.

The spelling of 135664656481 in words is "one hundred thirty-five billion, six hundred sixty-four million, six hundred fifty-six thousand, four hundred eighty-one".