501321126306 has 384 divisors, whose sum is σ = 1454510131200. Its totient is φ = 112841164800.

The previous prime is 501321126287. The next prime is 501321126359. The reversal of 501321126306 is 603621123105.

It is a Curzon number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 428113101 + ... + 428114271.

It is an arithmetic number, because the mean of its divisors is an integer number (3787786800).

Almost surely, 2^501321126306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501321126306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727255065600).

501321126306 is an abundant number, since it is smaller than the sum of its proper divisors (953189004894).

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

501321126306 is a wasteful number, since it uses less digits than its factorization.

501321126306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 501321126306 in words is "five hundred one billion, three hundred twenty-one million, one hundred twenty-six thousand, three hundred six".