513918 has 32 divisors (see below), whose sum is σ = 1182720. Its totient is φ = 165240.

The previous prime is 513917. The next prime is 513923. The reversal of 513918 is 819315.

It is a super-2 number, since 2×513918² = 528223421448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 513891 and 513900.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513918.

It is not an unprimeable number, because it can be changed into a prime (513917) 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, 1521 + ... + 1827.

It is an arithmetic number, because the mean of its divisors is an integer number (36960).

2⁵¹³⁹¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591360).

513918 is an abundant number, since it is smaller than the sum of its proper divisors (668802).

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

513918 is a wasteful number, since it uses less digits than its factorization.

513918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 513918 is about 716.8807432202. The cubic root of 513918 is about 80.0997713526.

It can be divided in two parts, 513 and 918, that added together give a triangular number (1431 = T₅₃).

The spelling of 513918 in words is "five hundred thirteen thousand, nine hundred eighteen".