253413 has 12 divisors (see below), whose sum is σ = 376428. Its totient is φ = 164160.

The previous prime is 253387. The next prime is 253417. The reversal of 253413 is 314352.

253413 is a `hidden beast` number, since 253 + 413 = 666.

253413 is digitally balanced in base 7, 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 91809 + 161604 = 303^2 + 402^2 .

It is not a de Polignac number, because 253413 - 2⁵ = 253381 is a prime.

253413 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253417) 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 11 ways as a sum of consecutive naturals, for example, 48 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (31369).

2²⁵³⁴¹³ is an apocalyptic number.

It is an amenable number.

253413 is a deficient number, since it is larger than the sum of its proper divisors (123015).

253413 is a wasteful number, since it uses less digits than its factorization.

253413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 801 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 253413 is about 503.4014302721. The cubic root of 253413 is about 63.2814317782.

Adding to 253413 its reverse (314352), we get a palindrome (567765).

It can be divided in two parts, 253 and 413, that added together give a palindrome (666).

The spelling of 253413 in words is "two hundred fifty-three thousand, four hundred thirteen".