513060 has 48 divisors (see below), whose sum is σ = 1524096. Its totient is φ = 128512.

The previous prime is 513059. The next prime is 513067. The reversal of 513060 is 60315.

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

It is not an unprimeable number, because it can be changed into a prime (513067) 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, 769 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁵¹³⁰⁶⁰ 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 513060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762048).

513060 is an abundant number, since it is smaller than the sum of its proper divisors (1011036).

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

513060 is a wasteful number, since it uses less digits than its factorization.

513060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 513060 is about 716.2820673450. The cubic root of 513060 is about 80.0551702776.

Adding to 513060 its reverse (60315), we get a palindrome (573375).

The spelling of 513060 in words is "five hundred thirteen thousand, sixty".