523505106 has 56 divisors (see below), whose sum is σ = 1246662684. Its totient is φ = 164229120.

The previous prime is 523505083. The next prime is 523505107. The reversal of 523505106 is 601505325.

523505106 is a `hidden beast` number, since 52 + 3 + 505 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 486599481 + 36905625 = 22059^2 + 6075^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 523505106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523505107) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14226 + ... + 35346.

Almost surely, 2^523505106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523505106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623331342).

523505106 is an abundant number, since it is smaller than the sum of its proper divisors (723157578).

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

523505106 is a wasteful number, since it uses less digits than its factorization.

523505106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21158 (or 21143 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 523505106 is about 22880.2339585940. The cubic root of 523505106 is about 805.9479110556.

The spelling of 523505106 in words is "five hundred twenty-three million, five hundred five thousand, one hundred six".