135805301 has 2 divisors, whose sum is σ = 135805302. Its totient is φ = 135805300.

The previous prime is 135805283. The next prime is 135805349. The reversal of 135805301 is 103508531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118156900 + 17648401 = 10870^2 + 4201^2 .

It is a cyclic number.

It is not a de Polignac number, because 135805301 - 2⁶ = 135805237 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135805381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67902650 + 67902651.

It is an arithmetic number, because the mean of its divisors is an integer number (67902651).

Almost surely, 2^135805301 is an apocalyptic number.

It is an amenable number.

135805301 is a deficient number, since it is larger than the sum of its proper divisors (1).

135805301 is an equidigital number, since it uses as much as digits as its factorization.

135805301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 135805301 is about 11653.5531491473. The cubic root of 135805301 is about 514.0107960507.

It can be divided in two parts, 13580 and 5301, that added together give a palindrome (18881).

The spelling of 135805301 in words is "one hundred thirty-five million, eight hundred five thousand, three hundred one".