501505560 has 128 divisors (see below), whose sum is σ = 1710720000. Its totient is φ = 130612608.

The previous prime is 501505531. The next prime is 501505573. The reversal of 501505560 is 65505105.

501505560 is a `hidden beast` number, since 50 + 1 + 50 + 5 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41041 + ... + 51839.

It is an arithmetic number, because the mean of its divisors is an integer number (13365000).

Almost surely, 2^501505560 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 501505560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855360000).

501505560 is an abundant number, since it is smaller than the sum of its proper divisors (1209214440).

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

501505560 is a wasteful number, since it uses less digits than its factorization.

501505560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 501505560 is about 22394.3198155247. The cubic root of 501505560 is about 794.4963702329.

The spelling of 501505560 in words is "five hundred one million, five hundred five thousand, five hundred sixty".