513493 has 4 divisors (see below), whose sum is σ = 518400. Its totient is φ = 508588.

The previous prime is 513481. The next prime is 513509. The reversal of 513493 is 394315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 513493 - 2¹³ = 505301 is a prime.

It is a super-2 number, since 2×513493² = 527350122098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513473) 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 3 ways as a sum of consecutive naturals, for example, 2293 + ... + 2506.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

2⁵¹³⁴⁹³ is an apocalyptic number.

It is an amenable number.

513493 is a deficient number, since it is larger than the sum of its proper divisors (4907).

513493 is a wasteful number, since it uses less digits than its factorization.

513493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906.

The product of its digits is 1620, while the sum is 25.

The square root of 513493 is about 716.5842588279. The cubic root of 513493 is about 80.0776849553.

The spelling of 513493 in words is "five hundred thirteen thousand, four hundred ninety-three".