505354102506 has 72 divisors (see below), whose sum is σ = 1207964826432. Its totient is φ = 152572345200.

The previous prime is 505354102499. The next prime is 505354102507. The reversal of 505354102506 is 605201453505.

505354102506 is a `hidden beast` number, since 50 + 5 + 354 + 1 + 0 + 250 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (505354102507) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 162145 + ... + 1018331.

It is an arithmetic number, because the mean of its divisors is an integer number (16777289256).

Almost surely, 2^505354102506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505354102506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603982413216).

505354102506 is an abundant number, since it is smaller than the sum of its proper divisors (702610723926).

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

505354102506 is a wasteful number, since it uses less digits than its factorization.

505354102506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856488 (or 856474 counting only the distinct ones).

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

The spelling of 505354102506 in words is "five hundred five billion, three hundred fifty-four million, one hundred two thousand, five hundred six".