505061101104 has 320 divisors, whose sum is σ = 1631072747520. Its totient is φ = 131414400000.

The previous prime is 505061101099. The next prime is 505061101201. The reversal of 505061101104 is 401101160505.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 29875054 + ... + 29891954.

It is an arithmetic number, because the mean of its divisors is an integer number (5097102336).

Almost surely, 2^505061101104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505061101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815536373760).

505061101104 is an abundant number, since it is smaller than the sum of its proper divisors (1126011646416).

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

505061101104 is a wasteful number, since it uses less digits than its factorization.

505061101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17120 (or 17114 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 505061101104 its reverse (401101160505), we get a palindrome (906162261609).

The spelling of 505061101104 in words is "five hundred five billion, sixty-one million, one hundred one thousand, one hundred four".