505535010032 has 20 divisors (see below), whose sum is σ = 1054818242520. Its totient is φ = 233323850688.

The previous prime is 505535010031. The next prime is 505535010037. The reversal of 505535010032 is 230010535505.

It is a junction number, because it is equal to n+sod(n) for n = 505535009977 and 505535010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505535010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1215228182 + ... + 1215228597.

It is an arithmetic number, because the mean of its divisors is an integer number (52740912126).

Almost surely, 2^505535010032 is an apocalyptic number.

505535010032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

505535010032 is an abundant number, since it is smaller than the sum of its proper divisors (549283232488).

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

505535010032 is a wasteful number, since it uses less digits than its factorization.

505535010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430456800 (or 2430456794 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 29.

Adding to 505535010032 its reverse (230010535505), we get a palindrome (735545545537).

The spelling of 505535010032 in words is "five hundred five billion, five hundred thirty-five million, ten thousand, thirty-two".