135385301 has 2 divisors, whose sum is σ = 135385302. Its totient is φ = 135385300.

The previous prime is 135385259. The next prime is 135385309. The reversal of 135385301 is 103583531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107019025 + 28366276 = 10345^2 + 5326^2 .

It is a cyclic number.

It is not a de Polignac number, because 135385301 - 2¹⁴ = 135368917 is a prime.

It is a Chen prime.

It is equal to p_7666031 and since 135385301 and 7666031 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135385309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67692650 + 67692651.

It is an arithmetic number, because the mean of its divisors is an integer number (67692651).

Almost surely, 2^135385301 is an apocalyptic number.

It is an amenable number.

135385301 is a deficient number, since it is larger than the sum of its proper divisors (1).

135385301 is an equidigital number, since it uses as much as digits as its factorization.

135385301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 135385301 is about 11635.5189398668. The cubic root of 135385301 is about 513.4803615031.

The spelling of 135385301 in words is "one hundred thirty-five million, three hundred eighty-five thousand, three hundred one".