506331564 has 24 divisors (see below), whose sum is σ = 1206578688. Its totient is φ = 165186000.

The previous prime is 506331563. The next prime is 506331571. The reversal of 506331564 is 465133605.

It is not an unprimeable number, because it can be changed into a prime (506331563) 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 7 ways as a sum of consecutive naturals, for example, 448312 + ... + 449439.

It is an arithmetic number, because the mean of its divisors is an integer number (50274112).

Almost surely, 2^506331564 is an apocalyptic number.

It is an amenable number.

506331564 is an abundant number, since it is smaller than the sum of its proper divisors (700247124).

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

506331564 is a wasteful number, since it uses less digits than its factorization.

506331564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897805 (or 897803 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 506331564 is about 22501.8124603331. The cubic root of 506331564 is about 797.0367269013.

The spelling of 506331564 in words is "five hundred six million, three hundred thirty-one thousand, five hundred sixty-four".