513682 has 16 divisors (see below), whose sum is σ = 866880. Its totient is φ = 226512.

The previous prime is 513679. The next prime is 513683. The reversal of 513682 is 286315.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513683) 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 7 ways as a sum of consecutive naturals, for example, 169 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (54180).

2⁵¹³⁶⁸² is an apocalyptic number.

513682 is a deficient number, since it is larger than the sum of its proper divisors (353198).

513682 is a wasteful number, since it uses less digits than its factorization.

513682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897.

The product of its digits is 1440, while the sum is 25.

The square root of 513682 is about 716.7161223246. The cubic root of 513682 is about 80.0875084102.

Adding to 513682 its reverse (286315), we get a palindrome (799997).

It can be divided in two parts, 513 and 682, that multiplied together give a triangular number (349866 = T₈₃₆).

The spelling of 513682 in words is "five hundred thirteen thousand, six hundred eighty-two".