253505313 has 12 divisors (see below), whose sum is σ = 368035668. Its totient is φ = 168144480.

The previous prime is 253505311. The next prime is 253505341. The reversal of 253505313 is 313505352.

253505313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 227617569 + 25887744 = 15087^2 + 5088^2 .

It is not a de Polignac number, because 253505313 - 2¹ = 253505311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253505311) 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, 69718 + ... + 73263.

It is an arithmetic number, because the mean of its divisors is an integer number (30669639).

Almost surely, 2^253505313 is an apocalyptic number.

It is an amenable number.

253505313 is a deficient number, since it is larger than the sum of its proper divisors (114530355).

253505313 is a wasteful number, since it uses less digits than its factorization.

253505313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143184 (or 143181 counting only the distinct ones).

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

The square root of 253505313 is about 15921.8501751524. The cubic root of 253505313 is about 632.8911487470.

The spelling of 253505313 in words is "two hundred fifty-three million, five hundred five thousand, three hundred thirteen".