513413 has 4 divisors (see below), whose sum is σ = 514848. Its totient is φ = 511980.

The previous prime is 513407. The next prime is 513419. The reversal of 513413 is 314315.

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, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (513407) and next prime (513419).

It is a cyclic number.

It is not a de Polignac number, because 513413 - 2⁴ = 513397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513391 and 513400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513419) 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 3 ways as a sum of consecutive naturals, for example, 320 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (128712).

2⁵¹³⁴¹³ is an apocalyptic number.

It is an amenable number.

513413 is a deficient number, since it is larger than the sum of its proper divisors (1435).

513413 is an equidigital number, since it uses as much as digits as its factorization.

513413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434.

The product of its digits is 180, while the sum is 17.

The square root of 513413 is about 716.5284362815. The cubic root of 513413 is about 80.0735261531.

Adding to 513413 its reverse (314315), we get a palindrome (827728).

The spelling of 513413 in words is "five hundred thirteen thousand, four hundred thirteen".