513486 has 32 divisors (see below), whose sum is σ = 1176480. Its totient is φ = 165888.

The previous prime is 513481. The next prime is 513509. The reversal of 513486 is 684315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513481) by changing a digit.

513486 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1870 + ... + 2126.

It is an arithmetic number, because the mean of its divisors is an integer number (36765).

2⁵¹³⁴⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588240).

513486 is an abundant number, since it is smaller than the sum of its proper divisors (662994).

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

513486 is a wasteful number, since it uses less digits than its factorization.

513486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 513486 is about 716.5793745287. The cubic root of 513486 is about 80.0773210774.

It can be divided in two parts, 513 and 486, that added together give a palindrome (999).

The spelling of 513486 in words is "five hundred thirteen thousand, four hundred eighty-six".