501013893120 has 208 divisors, whose sum is σ = 1726362943872. Its totient is φ = 123326300160.

The previous prime is 501013893113. The next prime is 501013893157. The reversal of 501013893120 is 21398310105.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485085 + ... + 1112355.

Almost surely, 2^501013893120 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 501013893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863181471936).

501013893120 is an abundant number, since it is smaller than the sum of its proper divisors (1225349050752).

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

501013893120 is a wasteful number, since it uses less digits than its factorization.

501013893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627316 (or 627294 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 501013893120 in words is "five hundred one billion, thirteen million, eight hundred ninety-three thousand, one hundred twenty".