253511313 has 32 divisors (see below), whose sum is σ = 388703232. Its totient is φ = 145464000.

The previous prime is 253511311. The next prime is 253511329. The reversal of 253511313 is 313115352.

It is not a de Polignac number, because 253511313 - 2¹ = 253511311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253511311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75006 + ... + 78312.

It is an arithmetic number, because the mean of its divisors is an integer number (12146976).

Almost surely, 2^253511313 is an apocalyptic number.

253511313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

253511313 is a deficient number, since it is larger than the sum of its proper divisors (135191919).

253511313 is a wasteful number, since it uses less digits than its factorization.

253511313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445.

The product of its digits is 1350, while the sum is 24.

The square root of 253511313 is about 15922.0385943509. The cubic root of 253511313 is about 632.8961418270.

Adding to 253511313 its reverse (313115352), we get a palindrome (566626665).

It can be divided in two parts, 253 and 511313, that added together give a triangular number (511566 = T₁₀₁₁).

The spelling of 253511313 in words is "two hundred fifty-three million, five hundred eleven thousand, three hundred thirteen".