506241252 has 180 divisors, whose sum is σ = 1498258300. Its totient is φ = 148832640.

The previous prime is 506241251. The next prime is 506241269. The reversal of 506241252 is 252142605.

It can be written as a sum of positive squares in 2 ways, for example, as 415915236 + 90326016 = 20394^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (506241251) 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 59 ways as a sum of consecutive naturals, for example, 1450374 + ... + 1450722.

Almost surely, 2^506241252 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 506241252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749129150).

506241252 is an abundant number, since it is smaller than the sum of its proper divisors (992017048).

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

506241252 is a wasteful number, since it uses less digits than its factorization.

506241252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 506241252 is about 22499.8055991602. The cubic root of 506241252 is about 796.9893361755.

Adding to 506241252 its reverse (252142605), we get a palindrome (758383857).

The spelling of 506241252 in words is "five hundred six million, two hundred forty-one thousand, two hundred fifty-two".