501413314104 has 192 divisors, whose sum is σ = 1439031484800. Its totient is φ = 157529069568.

The previous prime is 501413314049. The next prime is 501413314117. The reversal of 501413314104 is 401413314105.

501413314104 is a `hidden beast` number, since 501 + 4 + 13 + 3 + 141 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11131692 + ... + 11176644.

It is an arithmetic number, because the mean of its divisors is an integer number (7494955650).

Almost surely, 2^501413314104 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 501413314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719515742400).

501413314104 is an abundant number, since it is smaller than the sum of its proper divisors (937618170696).

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

501413314104 is a wasteful number, since it uses less digits than its factorization.

501413314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45134 (or 45127 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 501413314104 its reverse (401413314105), we get a palindrome (902826628209).

Subtracting from 501413314104 its reverse (401413314105), we obtain a palindrome (99999999999).

The spelling of 501413314104 in words is "five hundred one billion, four hundred thirteen million, three hundred fourteen thousand, one hundred four".