513000540 has 120 divisors (see below), whose sum is σ = 1733165280. Its totient is φ = 126271872.

The previous prime is 513000529. The next prime is 513000547. The reversal of 513000540 is 45000315.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513000547) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8881 + ... + 33239.

It is an arithmetic number, because the mean of its divisors is an integer number (14443044).

Almost surely, 2^513000540 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 513000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866582640).

513000540 is an abundant number, since it is smaller than the sum of its proper divisors (1220164740).

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

513000540 is a wasteful number, since it uses less digits than its factorization.

513000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24393 (or 24382 counting only the distinct ones).

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

The square root of 513000540 is about 22649.5152266003. The cubic root of 513000540 is about 800.5207755009.

Adding to 513000540 its reverse (45000315), we get a palindrome (558000855).

The spelling of 513000540 in words is "five hundred thirteen million, five hundred forty", and thus it is an aban number.