506631072 has 24 divisors (see below), whose sum is σ = 1329906816. Its totient is φ = 168876992.

The previous prime is 506631071. The next prime is 506631089. The reversal of 506631072 is 270136605.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (506631071) 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 3 ways as a sum of consecutive naturals, for example, 2638608 + ... + 2638799.

It is an arithmetic number, because the mean of its divisors is an integer number (55412784).

Almost surely, 2^506631072 is an apocalyptic number.

It is an amenable number.

506631072 is an abundant number, since it is smaller than the sum of its proper divisors (823275744).

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

506631072 is a wasteful number, since it uses less digits than its factorization.

506631072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277420 (or 5277412 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 506631072 is about 22508.4666736764. The cubic root of 506631072 is about 797.1938517572.

Adding to 506631072 its reverse (270136605), we get a palindrome (776767677).

The spelling of 506631072 in words is "five hundred six million, six hundred thirty-one thousand, seventy-two".