506165264 has 60 divisors (see below), whose sum is σ = 1098515628. Its totient is φ = 225688320.

The previous prime is 506165243. The next prime is 506165279. The reversal of 506165264 is 462561605.

It can be written as a sum of positive squares in 2 ways, for example, as 262180864 + 243984400 = 16192^2 + 15620^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 100142 + ... + 105074.

Almost surely, 2^506165264 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 506165264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549257814).

506165264 is an abundant number, since it is smaller than the sum of its proper divisors (592350364).

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

506165264 is a wasteful number, since it uses less digits than its factorization.

506165264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 506165264 is about 22498.1168989762. The cubic root of 506165264 is about 796.9494575235.

The spelling of 506165264 in words is "five hundred six million, one hundred sixty-five thousand, two hundred sixty-four".