506649852 has 36 divisors (see below), whose sum is σ = 1282970416. Its totient is φ = 168583680.

The previous prime is 506649817. The next prime is 506649859. The reversal of 506649852 is 258946605.

506649852 is a `hidden beast` number, since 50 + 66 + 498 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 506649798 and 506649807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506649859) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8577 + ... + 32967.

Almost surely, 2^506649852 is an apocalyptic number.

It is an amenable number.

506649852 is an abundant number, since it is smaller than the sum of its proper divisors (776320564).

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

506649852 is a wasteful number, since it uses less digits than its factorization.

506649852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24978 (or 24973 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 506649852 is about 22508.8838461617. The cubic root of 506649852 is about 797.2037018673.

It can be divided in two parts, 50664 and 9852, that added together give a square (60516 = 246²).

The spelling of 506649852 in words is "five hundred six million, six hundred forty-nine thousand, eight hundred fifty-two".