505275005004 has 288 divisors, whose sum is σ = 1576477728000. Its totient is φ = 124207050240.

The previous prime is 505275004963. The next prime is 505275005009. The reversal of 505275005004 is 400500572505.

505275005004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (505275005009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198223522 + ... + 198226070.

It is an arithmetic number, because the mean of its divisors is an integer number (5473881000).

Almost surely, 2^505275005004 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 505275005004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788238864000).

505275005004 is an abundant number, since it is smaller than the sum of its proper divisors (1071202722996).

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

505275005004 is a wasteful number, since it uses less digits than its factorization.

505275005004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 33.

Adding to 505275005004 its reverse (400500572505), we get a palindrome (905775577509).

The spelling of 505275005004 in words is "five hundred five billion, two hundred seventy-five million, five thousand, four".