501005055104 has 64 divisors (see below), whose sum is σ = 1021295728440. Its totient is φ = 244720459776.

The previous prime is 501005055101. The next prime is 501005055143. The reversal of 501005055104 is 401550500105.

It can be written as a sum of positive squares in 4 ways, for example, as 311640829504 + 189364225600 = 558248^2 + 435160^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (501005055101) 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 7 ways as a sum of consecutive naturals, for example, 1422194 + ... + 1739150.

Almost surely, 2^501005055104 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 501005055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510647864220).

501005055104 is an abundant number, since it is smaller than the sum of its proper divisors (520290673336).

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

501005055104 is a wasteful number, since it uses less digits than its factorization.

501005055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317257 (or 317245 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

Adding to 501005055104 its reverse (401550500105), we get a palindrome (902555555209).

The spelling of 501005055104 in words is "five hundred one billion, five million, fifty-five thousand, one hundred four".