501761568 has 144 divisors (see below), whose sum is σ = 1671624864. Its totient is φ = 130314240.

The previous prime is 501761563. The next prime is 501761569. The reversal of 501761568 is 865167105.

It is a super-2 number, since 2×501761568² = 503529342243637248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501761563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46896 + ... + 56592.

It is an arithmetic number, because the mean of its divisors is an integer number (11608506).

Almost surely, 2^501761568 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 501761568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835812432).

501761568 is an abundant number, since it is smaller than the sum of its proper divisors (1169863296).

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

501761568 is a wasteful number, since it uses less digits than its factorization.

501761568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9735 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 501761568 is about 22400.0349999727. The cubic root of 501761568 is about 794.6315384429.

The spelling of 501761568 in words is "five hundred one million, seven hundred sixty-one thousand, five hundred sixty-eight".