513689 has 16 divisors (see below), whose sum is σ = 616896. Its totient is φ = 422400.

The previous prime is 513683. The next prime is 513691. The reversal of 513689 is 986315.

It is not a de Polignac number, because 513689 - 2⁴ = 513673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7634 + ... + 7700.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

2⁵¹³⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

513689 is a deficient number, since it is larger than the sum of its proper divisors (103207).

513689 is a wasteful number, since it uses less digits than its factorization.

513689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its digits is 6480, while the sum is 32.

The square root of 513689 is about 716.7210056919. The cubic root of 513689 is about 80.0878721956.

It can be divided in two parts, 5136 and 89, that added together give a palindrome (5225).

The spelling of 513689 in words is "five hundred thirteen thousand, six hundred eighty-nine".