513660 has 48 divisors (see below), whose sum is σ = 1645056. Its totient is φ = 117312.

The previous prime is 513649. The next prime is 513673. The reversal of 513660 is 66315.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

513660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

2⁵¹³⁶⁶⁰ 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 513660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822528).

513660 is an abundant number, since it is smaller than the sum of its proper divisors (1131396).

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

513660 is a wasteful number, since it uses less digits than its factorization.

513660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 513660 is about 716.7007743822. The cubic root of 513660 is about 80.0863650632.

Adding to 513660 its reverse (66315), we get a palindrome (579975).

The spelling of 513660 in words is "five hundred thirteen thousand, six hundred sixty".