506611072 has 64 divisors (see below), whose sum is σ = 1111453200. Its totient is φ = 228096000.

The previous prime is 506611069. The next prime is 506611099. The reversal of 506611072 is 270116605.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 506611072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151822 + ... + 155122.

Almost surely, 2^506611072 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 506611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555726600).

506611072 is an abundant number, since it is smaller than the sum of its proper divisors (604842128).

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

506611072 is a wasteful number, since it uses less digits than its factorization.

506611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 506611072 is about 22508.0223920272. The cubic root of 506611072 is about 797.1833614894.

Adding to 506611072 its reverse (270116605), we get a palindrome (776727677).

The spelling of 506611072 in words is "five hundred six million, six hundred eleven thousand, seventy-two".