135305253 has 12 divisors (see below), whose sum is σ = 195999180. Its totient is φ = 89945856.

The previous prime is 135305239. The next prime is 135305257. The reversal of 135305253 is 352503531.

135305253 is a `hidden beast` number, since 135 + 3 + 0 + 525 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34363044 + 100942209 = 5862^2 + 10047^2 .

It is not a de Polignac number, because 135305253 - 2⁸ = 135304997 is a prime.

It is a super-2 number, since 2×135305253² = 36615022978788018, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135305257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18118 + ... + 24471.

It is an arithmetic number, because the mean of its divisors is an integer number (16333265).

Almost surely, 2^135305253 is an apocalyptic number.

It is an amenable number.

135305253 is a deficient number, since it is larger than the sum of its proper divisors (60693927).

135305253 is a wasteful number, since it uses less digits than its factorization.

135305253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42948 (or 42945 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 135305253 is about 11632.0786190603. The cubic root of 135305253 is about 513.3791413086.

Adding to 135305253 its reverse (352503531), we get a palindrome (487808784).

The spelling of 135305253 in words is "one hundred thirty-five million, three hundred five thousand, two hundred fifty-three".