253513 has 4 divisors (see below), whose sum is σ = 273028. Its totient is φ = 234000.

The previous prime is 253507. The next prime is 253531. The reversal of 253513 is 315352.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 170569 = 288^2 + 413^2 .

It is not a de Polignac number, because 253513 - 2⁵ = 253481 is a prime.

It is an Ulam number.

It is the 504-th Hogben number.

It is a Duffinian number.

253513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (253543) by changing a digit.

It is a nontrivial repunit in base 503.

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 in 3 ways as a sum of consecutive naturals, for example, 9738 + ... + 9763.

It is an arithmetic number, because the mean of its divisors is an integer number (68257).

2²⁵³⁵¹³ is an apocalyptic number.

It is an amenable number.

253513 is a deficient number, since it is larger than the sum of its proper divisors (19515).

253513 is a wasteful number, since it uses less digits than its factorization.

253513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19514.

The product of its digits is 450, while the sum is 19.

The square root of 253513 is about 503.5007447859. The cubic root of 253513 is about 63.2897545700.

Adding to 253513 its reverse (315352), we get a palindrome (568865).

The spelling of 253513 in words is "two hundred fifty-three thousand, five hundred thirteen".