513540 has 60 divisors (see below), whose sum is σ = 1616076. Its totient is φ = 136512.

The previous prime is 513533. The next prime is 513593. The reversal of 513540 is 45315.

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 419904 = 306^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1462 + ... + 1778.

2⁵¹³⁵⁴⁰ 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 513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808038).

513540 is an abundant number, since it is smaller than the sum of its proper divisors (1102536).

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

513540 is a wasteful number, since it uses less digits than its factorization.

513540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 513540 is about 716.6170525462. The cubic root of 513540 is about 80.0801280502.

Adding to 513540 its reverse (45315), we get a palindrome (558855).

The spelling of 513540 in words is "five hundred thirteen thousand, five hundred forty".