513040 has 60 divisors (see below), whose sum is σ = 1335852. Its totient is φ = 183040.

The previous prime is 513031. The next prime is 513041. The reversal of 513040 is 40315.

513040 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 234256 = 528^2 + 484^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 513040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9654 + ... + 9706.

2⁵¹³⁰⁴⁰ 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 513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667926).

513040 is an abundant number, since it is smaller than the sum of its proper divisors (822812).

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

513040 is a wasteful number, since it uses less digits than its factorization.

513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 513040 is about 716.2681062284. The cubic root of 513040 is about 80.0541300327.

Adding to 513040 its reverse (40315), we get a palindrome (553355).

The spelling of 513040 in words is "five hundred thirteen thousand, forty".