501081984 has 256 divisors, whose sum is σ = 1679328000. Its totient is φ = 145815552.

The previous prime is 501081983. The next prime is 501081989. The reversal of 501081984 is 489180105.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501081983) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 853339 + ... + 853925.

It is an arithmetic number, because the mean of its divisors is an integer number (6559875).

Almost surely, 2^501081984 is an apocalyptic number.

501081984 is a gapful number since it is divisible by the number (54) 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 501081984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839664000).

501081984 is an abundant number, since it is smaller than the sum of its proper divisors (1178246016).

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

501081984 is a wasteful number, since it uses less digits than its factorization.

501081984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 501081984 is about 22384.8605981811. The cubic root of 501081984 is about 794.2726276923.

The spelling of 501081984 in words is "five hundred one million, eighty-one thousand, nine hundred eighty-four".