501016560 has 160 divisors (see below), whose sum is σ = 1712033280. Its totient is φ = 120192000.

The previous prime is 501016517. The next prime is 501016577. The reversal of 501016560 is 65610105.

501016560 = 35² + 36² + ... + 1145².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 501016560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265701 + ... + 267579.

It is an arithmetic number, because the mean of its divisors is an integer number (10700208).

Almost surely, 2^501016560 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 501016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856016640).

501016560 is an abundant number, since it is smaller than the sum of its proper divisors (1211016720).

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

501016560 is a wasteful number, since it uses less digits than its factorization.

501016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 501016560 is about 22383.3992056613. The cubic root of 501016560 is about 794.2380579973.

Adding to 501016560 its reverse (65610105), we get a palindrome (566626665).

The spelling of 501016560 in words is "five hundred one million, sixteen thousand, five hundred sixty".