501565968 has 120 divisors (see below), whose sum is σ = 1474012800. Its totient is φ = 158906880.

The previous prime is 501565949. The next prime is 501565993. The reversal of 501565968 is 869565105.

It is a happy number.

501565968 is a `hidden beast` number, since 5 + 0 + 1 + 56 + 596 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658708 + ... + 659468.

It is an arithmetic number, because the mean of its divisors is an integer number (12283440).

Almost surely, 2^501565968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501565968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737006400).

501565968 is an abundant number, since it is smaller than the sum of its proper divisors (972446832).

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

501565968 is a wasteful number, since it uses less digits than its factorization.

501565968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 501565968 is about 22395.6685097811. The cubic root of 501565968 is about 794.5282688555.

The spelling of 501565968 in words is "five hundred one million, five hundred sixty-five thousand, nine hundred sixty-eight".