505152 has 42 divisors (see below), whose sum is σ = 1449578. Its totient is φ = 168192.

The previous prime is 505139. The next prime is 505157. The reversal of 505152 is 251505.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 20736 = 696^2 + 144^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138 + ... + 1014.

2⁵⁰⁵¹⁵² 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 505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724789).

505152 is an abundant number, since it is smaller than the sum of its proper divisors (944426).

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

505152 is a wasteful number, since it uses less digits than its factorization.

505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 505152 is about 710.7404589581. The cubic root of 505152 is about 79.6417312724.

Adding to 505152 its reverse (251505), we get a palindrome (756657).

The spelling of 505152 in words is "five hundred five thousand, one hundred fifty-two".