505365613566 has 96 divisors (see below), whose sum is σ = 1123420492800. Its totient is φ = 150304095360.

The previous prime is 505365613559. The next prime is 505365613567. The reversal of 505365613566 is 665316563505.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505365613567) 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 47 ways as a sum of consecutive naturals, for example, 185863155 + ... + 185865873.

It is an arithmetic number, because the mean of its divisors is an integer number (11702296800).

Almost surely, 2^505365613566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505365613566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561710246400).

505365613566 is an abundant number, since it is smaller than the sum of its proper divisors (618054879234).

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

505365613566 is a wasteful number, since it uses less digits than its factorization.

505365613566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 51.

The spelling of 505365613566 in words is "five hundred five billion, three hundred sixty-five million, six hundred thirteen thousand, five hundred sixty-six".