513474 has 32 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 151872.

The previous prime is 513473. The next prime is 513479. The reversal of 513474 is 474315.

It is an Ulam 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁵¹³⁴⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

513474 is an abundant number, since it is smaller than the sum of its proper divisors (635646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513474 is a wasteful number, since it uses less digits than its factorization.

513474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its digits is 1680, while the sum is 24.

The square root of 513474 is about 716.5710013669. The cubic root of 513474 is about 80.0766972789.

Adding to 513474 its reverse (474315), we get a palindrome (987789).

The spelling of 513474 in words is "five hundred thirteen thousand, four hundred seventy-four".