135585877023361 has 2 divisors, whose sum is σ = 135585877023362. Its totient is φ = 135585877023360.

The previous prime is 135585877023353. The next prime is 135585877023431. The reversal of 135585877023361 is 163320778585531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131350945192336 + 4234931831025 = 11460844^2 + 2057895^2 .

It is a cyclic number.

It is not a de Polignac number, because 135585877023361 - 2³ = 135585877023353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135585877023293 and 135585877023302.

It is not a weakly prime, because it can be changed into another prime (135585877020361) 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, 67792938511680 + 67792938511681.

It is an arithmetic number, because the mean of its divisors is an integer number (67792938511681).

Almost surely, 2^{135585877023361} is an apocalyptic number.

It is an amenable number.

135585877023361 is a deficient number, since it is larger than the sum of its proper divisors (1).

135585877023361 is an equidigital number, since it uses as much as digits as its factorization.

135585877023361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008000, while the sum is 64.

The spelling of 135585877023361 in words is "one hundred thirty-five trillion, five hundred eighty-five billion, eight hundred seventy-seven million, twenty-three thousand, three hundred sixty-one".