501336681000 has 768 divisors, whose sum is σ = 1791973048320. Its totient is φ = 116328960000.

The previous prime is 501336680993. The next prime is 501336681029. The reversal of 501336681000 is 186633105.

It is a super-2 number, since 2×501336681000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 618170595 + ... + 618171405.

It is an arithmetic number, because the mean of its divisors is an integer number (2333298240).

Almost surely, 2^501336681000 is an apocalyptic number.

501336681000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501336681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895986524160).

501336681000 is an abundant number, since it is smaller than the sum of its proper divisors (1290636367320).

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

501336681000 is a wasteful number, since it uses less digits than its factorization.

501336681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 501336681000 in words is "five hundred one billion, three hundred thirty-six million, six hundred eighty-one thousand".