513786 has 32 divisors (see below), whose sum is σ = 1266048. Its totient is φ = 135360.

The previous prime is 513781. The next prime is 513829. The reversal of 513786 is 687315.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513781) by changing a digit.

513786 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (39564).

2⁵¹³⁷⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633024).

513786 is an abundant number, since it is smaller than the sum of its proper divisors (752262).

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

513786 is a wasteful number, since it uses less digits than its factorization.

513786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966.

The product of its digits is 5040, while the sum is 30.

The square root of 513786 is about 716.7886717855. The cubic root of 513786 is about 80.0929128815.

The spelling of 513786 in words is "five hundred thirteen thousand, seven hundred eighty-six".