501715968 has 176 divisors, whose sum is σ = 1526898240. Its totient is φ = 145096704.

The previous prime is 501715943. The next prime is 501716003. The reversal of 501715968 is 869517105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 678543 + ... + 679281.

Almost surely, 2^501715968 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 501715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763449120).

501715968 is an abundant number, since it is smaller than the sum of its proper divisors (1025182272).

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

501715968 is a wasteful number, since it uses less digits than its factorization.

501715968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 501715968 is about 22399.0171212935. The cubic root of 501715968 is about 794.6074657237.

The spelling of 501715968 in words is "five hundred one million, seven hundred fifteen thousand, nine hundred sixty-eight".