513114 has 32 divisors (see below), whose sum is σ = 1236480. Its totient is φ = 138672.

The previous prime is 513109. The next prime is 513131. The reversal of 513114 is 411315.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513093 and 513102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513114.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 477 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (38640).

2⁵¹³¹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618240).

513114 is an abundant number, since it is smaller than the sum of its proper divisors (723366).

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

513114 is a wasteful number, since it uses less digits than its factorization.

513114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674.

The product of its digits is 60, while the sum is 15.

The square root of 513114 is about 716.3197610006. The cubic root of 513114 is about 80.0579788039.

Adding to 513114 its reverse (411315), we get a palindrome (924429).

It can be divided in two parts, 51311 and 4, that added together give a palindrome (51315).

The spelling of 513114 in words is "five hundred thirteen thousand, one hundred fourteen".