506412252 has 72 divisors (see below), whose sum is σ = 1414367136. Its totient is φ = 151962624.

The previous prime is 506412251. The next prime is 506412271. The reversal of 506412252 is 252214605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506412251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3913 + ... + 32064.

It is an arithmetic number, because the mean of its divisors is an integer number (19643988).

Almost surely, 2^506412252 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 506412252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707183568).

506412252 is an abundant number, since it is smaller than the sum of its proper divisors (907954884).

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

506412252 is a wasteful number, since it uses less digits than its factorization.

506412252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36027 (or 36022 counting only the distinct ones).

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

The square root of 506412252 is about 22503.6053111496. The cubic root of 506412252 is about 797.0790627198.

Adding to 506412252 its reverse (252214605), we get a palindrome (758626857).

The spelling of 506412252 in words is "five hundred six million, four hundred twelve thousand, two hundred fifty-two".