501113311200 has 864 divisors, whose sum is σ = 1983900522240. Its totient is φ = 118278144000.

The previous prime is 501113311177. The next prime is 501113311201. The reversal of 501113311200 is 2113311105.

501113311200 is a `hidden beast` number, since 501 + 1 + 13 + 31 + 120 + 0 = 666.

It is a super-2 number, since 2×501113311200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501113311201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 351164887 + ... + 351166313.

It is an arithmetic number, because the mean of its divisors is an integer number (2296181160).

Almost surely, 2^501113311200 is an apocalyptic number.

501113311200 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 501113311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991950261120).

501113311200 is an abundant number, since it is smaller than the sum of its proper divisors (1482787211040).

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

501113311200 is a wasteful number, since it uses less digits than its factorization.

501113311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 501113311200 its reverse (2113311105), we get a palindrome (503226622305).

The spelling of 501113311200 in words is "five hundred one billion, one hundred thirteen million, three hundred eleven thousand, two hundred".