513240 has 128 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 105984.

The previous prime is 513239. The next prime is 513257. The reversal of 513240 is 42315.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10897 + ... + 10943.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2⁵¹³²⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

513240 is an abundant number, since it is smaller than the sum of its proper divisors (1422120).

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

513240 is a wasteful number, since it uses less digits than its factorization.

513240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 513240 is about 716.4077051512. The cubic root of 513240 is about 80.0645312658.

Adding to 513240 its reverse (42315), we get a palindrome (555555).

The spelling of 513240 in words is "five hundred thirteen thousand, two hundred forty".