253135305 has 24 divisors (see below), whose sum is σ = 452924160. Its totient is φ = 130649760.

The previous prime is 253135301. The next prime is 253135319. The reversal of 253135305 is 503531352.

253135305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253135305 - 2² = 253135301 is a prime.

It is a super-3 number, since 3×253135305³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (253135301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89335 + ... + 92124.

It is an arithmetic number, because the mean of its divisors is an integer number (18871840).

Almost surely, 2^253135305 is an apocalyptic number.

It is an amenable number.

253135305 is a deficient number, since it is larger than the sum of its proper divisors (199788855).

253135305 is a wasteful number, since it uses less digits than its factorization.

253135305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181501 (or 181498 counting only the distinct ones).

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

The square root of 253135305 is about 15910.2264283070. The cubic root of 253135305 is about 632.5830831301.

Adding to 253135305 its reverse (503531352), we get a palindrome (756666657).

The spelling of 253135305 in words is "two hundred fifty-three million, one hundred thirty-five thousand, three hundred five".