513557532 has 72 divisors (see below), whose sum is σ = 1368686592. Its totient is φ = 162122400.

The previous prime is 513557531. The next prime is 513557609. The reversal of 513557532 is 235755315.

513557532 is a `hidden beast` number, since 51 + 3 + 5 + 575 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513557531) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47557 + ... + 57347.

It is an arithmetic number, because the mean of its divisors is an integer number (19009536).

Almost surely, 2^513557532 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 513557532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684343296).

513557532 is an abundant number, since it is smaller than the sum of its proper divisors (855129060).

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

513557532 is a wasteful number, since it uses less digits than its factorization.

513557532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9874 counting only the distinct ones).

The product of its digits is 78750, while the sum is 36.

The square root of 513557532 is about 22661.8077831403. The cubic root of 513557532 is about 800.8103933843.

It can be divided in two parts, 513557 and 532, that added together give a square (514089 = 717²).

The spelling of 513557532 in words is "five hundred thirteen million, five hundred fifty-seven thousand, five hundred thirty-two".