513716 has 18 divisors (see below), whose sum is σ = 1046178. Its totient is φ = 220080.

The previous prime is 513697. The next prime is 513719. The reversal of 513716 is 617315.

It can be written as a sum of positive squares in only one way, i.e., 490000 + 23716 = 700^2 + 154^2 .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 513691 and 513700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513719) by changing a digit.

513716 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 5 ways as a sum of consecutive naturals, for example, 1115 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (58121).

2⁵¹³⁷¹⁶ is an apocalyptic number.

It is an amenable number.

513716 is an abundant number, since it is smaller than the sum of its proper divisors (532462).

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

513716 is a wasteful number, since it uses less digits than its factorization.

513716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2630 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 513716 is about 716.7398412255. The cubic root of 513716 is about 80.0892753369.

The spelling of 513716 in words is "five hundred thirteen thousand, seven hundred sixteen".