135505401461 has 2 divisors, whose sum is σ = 135505401462. Its totient is φ = 135505401460.

The previous prime is 135505401443. The next prime is 135505401463. The reversal of 135505401461 is 164104505531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89583483025 + 45921918436 = 299305^2 + 214294^2 .

It is an emirp because it is prime and its reverse (164104505531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135505401461 - 2²⁶ = 135438292597 is a prime.

Together with 135505401463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135505401463) 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, 67752700730 + 67752700731.

It is an arithmetic number, because the mean of its divisors is an integer number (67752700731).

Almost surely, 2^135505401461 is an apocalyptic number.

It is an amenable number.

135505401461 is a deficient number, since it is larger than the sum of its proper divisors (1).

135505401461 is an equidigital number, since it uses as much as digits as its factorization.

135505401461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 135505401461 its reverse (164104505531), we get a palindrome (299609906992).

The spelling of 135505401461 in words is "one hundred thirty-five billion, five hundred five million, four hundred one thousand, four hundred sixty-one".