501506616 has 64 divisors (see below), whose sum is σ = 1352725920. Its totient is φ = 154022400.

The previous prime is 501506611. The next prime is 501506659. The reversal of 501506616 is 616605105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501506611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217566 + ... + 219858.

Almost surely, 2^501506616 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 501506616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676362960).

501506616 is an abundant number, since it is smaller than the sum of its proper divisors (851219304).

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

501506616 is a wasteful number, since it uses less digits than its factorization.

501506616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 501506616 is about 22394.3433929196. The cubic root of 501506616 is about 794.4969278788.

The spelling of 501506616 in words is "five hundred one million, five hundred six thousand, six hundred sixteen".