503312353632 has 144 divisors (see below), whose sum is σ = 1561866546240. Its totient is φ = 152474515200.

The previous prime is 503312353631. The next prime is 503312353667. The reversal of 503312353632 is 236353213305.

503312353632 is a `hidden beast` number, since 5 + 0 + 3 + 3 + 12 + 3 + 5 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503312353631) 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 23 ways as a sum of consecutive naturals, for example, 11823907 + ... + 11866397.

It is an arithmetic number, because the mean of its divisors is an integer number (10846295460).

Almost surely, 2^503312353632 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 503312353632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780933273120).

503312353632 is an abundant number, since it is smaller than the sum of its proper divisors (1058554192608).

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

503312353632 is a wasteful number, since it uses less digits than its factorization.

503312353632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46257 (or 46246 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Adding to 503312353632 its reverse (236353213305), we get a palindrome (739665566937).

The spelling of 503312353632 in words is "five hundred three billion, three hundred twelve million, three hundred fifty-three thousand, six hundred thirty-two".