505365431032 has 128 divisors (see below), whose sum is σ = 1252715466240. Its totient is φ = 185039585280.

The previous prime is 505365431003. The next prime is 505365431033. The reversal of 505365431032 is 230134563505.

It is a junction number, because it is equal to n+sod(n) for n = 505365430982 and 505365431000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505365431033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7117048 + ... + 7187704.

It is an arithmetic number, because the mean of its divisors is an integer number (9786839580).

Almost surely, 2^505365431032 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 505365431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626357733120).

505365431032 is an abundant number, since it is smaller than the sum of its proper divisors (747350035208).

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

505365431032 is a wasteful number, since it uses less digits than its factorization.

505365431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71381 (or 71377 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

Adding to 505365431032 its reverse (230134563505), we get a palindrome (735499994537).

The spelling of 505365431032 in words is "five hundred five billion, three hundred sixty-five million, four hundred thirty-one thousand, thirty-two".