505535212206 has 64 divisors (see below), whose sum is σ = 1150086643200. Its totient is φ = 164514224448.

The previous prime is 505535212181. The next prime is 505535212219. The reversal of 505535212206 is 602212535505.

505535212206 is a `hidden beast` number, since 50 + 55 + 352 + 1 + 2 + 206 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4911175 + ... + 5013053.

It is an arithmetic number, because the mean of its divisors is an integer number (17970103800).

Almost surely, 2^505535212206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505535212206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575043321600).

505535212206 is an abundant number, since it is smaller than the sum of its proper divisors (644551430994).

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

505535212206 is a wasteful number, since it uses less digits than its factorization.

505535212206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104070 (or 104064 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 505535212206 in words is "five hundred five billion, five hundred thirty-five million, two hundred twelve thousand, two hundred six".