501112542000 has 320 divisors, whose sum is σ = 1867144780800. Its totient is φ = 113252198400.

The previous prime is 501112541989. The next prime is 501112542011. The reversal of 501112542000 is 245211105.

It is an interprime number because it is at equal distance from previous prime (501112541989) and next prime (501112542011).

It is a super-2 number, since 2×501112542000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 3670971 + ... + 3805029.

It is an arithmetic number, because the mean of its divisors is an integer number (5834827440).

Almost surely, 2^501112542000 is an apocalyptic number.

501112542000 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 501112542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933572390400).

501112542000 is an abundant number, since it is smaller than the sum of its proper divisors (1366032238800).

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

501112542000 is a wasteful number, since it uses less digits than its factorization.

501112542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134181 (or 134165 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 501112542000 its reverse (245211105), we get a palindrome (501357753105).

The spelling of 501112542000 in words is "five hundred one billion, one hundred twelve million, five hundred forty-two thousand".