513193 has 8 divisors (see below), whose sum is σ = 535680. Its totient is φ = 491280.

The previous prime is 513173. The next prime is 513203. The reversal of 513193 is 391315.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513103) 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, 2778 + ... + 2956.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2⁵¹³¹⁹³ is an apocalyptic number.

It is an amenable number.

513193 is a deficient number, since it is larger than the sum of its proper divisors (22487).

513193 is a wasteful number, since it uses less digits than its factorization.

513193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its digits is 405, while the sum is 22.

The square root of 513193 is about 716.3749018496. The cubic root of 513193 is about 80.0620872189.

The spelling of 513193 in words is "five hundred thirteen thousand, one hundred ninety-three".