501126912 has 360 divisors, whose sum is σ = 1765893360. Its totient is φ = 140175360.

The previous prime is 501126911. The next prime is 501126937. The reversal of 501126912 is 219621105.

It is a super-3 number, since 3×501126912³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501126911) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38548218 + ... + 38548230.

Almost surely, 2^501126912 is an apocalyptic number.

501126912 is a gapful number since it is divisible by the number (52) 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 501126912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882946680).

501126912 is an abundant number, since it is smaller than the sum of its proper divisors (1264766448).

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

501126912 is an equidigital number, since it uses as much as digits as its factorization.

501126912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 501126912 is about 22385.8641110858. The cubic root of 501126912 is about 794.2963656669.

The spelling of 501126912 in words is "five hundred one million, one hundred twenty-six thousand, nine hundred twelve".