505223152 has 80 divisors (see below), whose sum is σ = 1207779840. Its totient is φ = 199938816.

The previous prime is 505223141. The next prime is 505223171. The reversal of 505223152 is 251322505.

505223152 = 224² + 225² + ... + 1151².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71323 + ... + 78085.

It is an arithmetic number, because the mean of its divisors is an integer number (15097248).

Almost surely, 2^505223152 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 505223152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603889920).

505223152 is an abundant number, since it is smaller than the sum of its proper divisors (702556688).

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

505223152 is a wasteful number, since it uses less digits than its factorization.

505223152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 505223152 is about 22477.1695727020. The cubic root of 505223152 is about 796.4547034663.

Adding to 505223152 its reverse (251322505), we get a palindrome (756545657).

The spelling of 505223152 in words is "five hundred five million, two hundred twenty-three thousand, one hundred fifty-two".