505106634135006 has 96 divisors (see below), whose sum is σ = 1161340349644800. Its totient is φ = 158113962420480.

The previous prime is 505106634135001. The next prime is 505106634135041. The reversal of 505106634135006 is 600531436601505.

It is a happy number.

505106634135006 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 0 + 6 + 634 + 1 + 3 + 5 + 0 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505106634135001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178094051 + ... + 1178522721.

It is an arithmetic number, because the mean of its divisors is an integer number (12097295308800).

Almost surely, 2^{505106634135006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505106634135006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580670174822400).

505106634135006 is an abundant number, since it is smaller than the sum of its proper divisors (656233715509794).

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

505106634135006 is a wasteful number, since it uses less digits than its factorization.

505106634135006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437214 (or 437211 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 505106634135006 in words is "five hundred five trillion, one hundred six billion, six hundred thirty-four million, one hundred thirty-five thousand, six".