513993 has 8 divisors (see below), whose sum is σ = 695008. Its totient is φ = 337824.

The previous prime is 513991. The next prime is 514001. The reversal of 513993 is 399315.

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

It is not a de Polignac number, because 513993 - 2¹ = 513991 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 513993.

It is not an unprimeable number, because it can be changed into a prime (513991) 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 7 ways as a sum of consecutive naturals, for example, 955 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (86876).

2⁵¹³⁹⁹³ is an apocalyptic number.

It is an amenable number.

513993 is a deficient number, since it is larger than the sum of its proper divisors (181015).

513993 is a wasteful number, since it uses less digits than its factorization.

513993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423.

The product of its digits is 3645, while the sum is 30.

The square root of 513993 is about 716.9330512677. The cubic root of 513993 is about 80.1036676879.

The spelling of 513993 in words is "five hundred thirteen thousand, nine hundred ninety-three".