513249 has 16 divisors (see below), whose sum is σ = 758784. Its totient is φ = 306000.

The previous prime is 513239. The next prime is 513257. The reversal of 513249 is 942315.

It is not a de Polignac number, because 513249 - 2¹¹ = 511201 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513249.

It is not an unprimeable number, because it can be changed into a prime (513239) 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 15 ways as a sum of consecutive naturals, for example, 3324 + ... + 3474.

It is an arithmetic number, because the mean of its divisors is an integer number (47424).

2⁵¹³²⁴⁹ is an apocalyptic number.

It is an amenable number.

513249 is a deficient number, since it is larger than the sum of its proper divisors (245535).

513249 is a wasteful number, since it uses less digits than its factorization.

513249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

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

The square root of 513249 is about 716.4139864631. The cubic root of 513249 is about 80.0649992577.

The spelling of 513249 in words is "five hundred thirteen thousand, two hundred forty-nine".