251313 has 8 divisors (see below), whose sum is σ = 352800. Its totient is φ = 158688.

The previous prime is 251297. The next prime is 251323. The reversal of 251313 is 313152.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 251313 - 2⁴ = 251297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 251292 and 251301.

It is not an unprimeable number, because it can be changed into a prime (251323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2148 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2²⁵¹³¹³ is an apocalyptic number.

It is an amenable number.

251313 is a deficient number, since it is larger than the sum of its proper divisors (101487).

251313 is a wasteful number, since it uses less digits than its factorization.

251313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431.

The product of its digits is 90, while the sum is 15.

The square root of 251313 is about 501.3112805433. The cubic root of 251313 is about 63.1061450729.

Adding to 251313 its reverse (313152), we get a palindrome (564465).

It can be divided in two parts, 2 and 51313, that added together give a palindrome (51315).

The spelling of 251313 in words is "two hundred fifty-one thousand, three hundred thirteen".