506697552 has 80 divisors (see below), whose sum is σ = 1488287680. Its totient is φ = 164965248.

The previous prime is 506697551. The next prime is 506697589. The reversal of 506697552 is 255796605.

506697552 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 97 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506697498 and 506697507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506697551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4938 + ... + 32214.

It is an arithmetic number, because the mean of its divisors is an integer number (18603596).

Almost surely, 2^506697552 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 506697552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744143840).

506697552 is an abundant number, since it is smaller than the sum of its proper divisors (981590128).

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

506697552 is a wasteful number, since it uses less digits than its factorization.

506697552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27337 (or 27325 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 506697552 is about 22509.9434028609. The cubic root of 506697552 is about 797.2287194234.

The spelling of 506697552 in words is "five hundred six million, six hundred ninety-seven thousand, five hundred fifty-two".