249513 has 8 divisors (see below), whose sum is σ = 362976. Its totient is φ = 151200.

The previous prime is 249503. The next prime is 249517. The reversal of 249513 is 315942.

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

It is not a de Polignac number, because 249513 - 2⁴ = 249497 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249513.

It is not an unprimeable number, because it can be changed into a prime (249517) 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, 3748 + ... + 3813.

It is an arithmetic number, because the mean of its divisors is an integer number (45372).

2²⁴⁹⁵¹³ is an apocalyptic number.

It is an amenable number.

249513 is a deficient number, since it is larger than the sum of its proper divisors (113463).

249513 is a wasteful number, since it uses less digits than its factorization.

249513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7575.

The product of its digits is 1080, while the sum is 24.

The square root of 249513 is about 499.5127625997. The cubic root of 249513 is about 62.9551204679.

The spelling of 249513 in words is "two hundred forty-nine thousand, five hundred thirteen".