513552 has 40 divisors (see below), whose sum is σ = 1430464. Its totient is φ = 157824.

The previous prime is 513533. The next prime is 513593. The reversal of 513552 is 255315.

513552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513552.

It is an unprimeable number.

513552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 1035.

2⁵¹³⁵⁵² is an apocalyptic number.

513552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715232).

513552 is an abundant number, since it is smaller than the sum of its proper divisors (916912).

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

513552 is a wasteful number, since it uses less digits than its factorization.

513552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its digits is 750, while the sum is 21.

The square root of 513552 is about 716.6254251699. The cubic root of 513552 is about 80.0807517953.

Adding to 513552 its reverse (255315), we get a palindrome (768867).

The spelling of 513552 in words is "five hundred thirteen thousand, five hundred fifty-two".