506501661660 has 96 divisors (see below), whose sum is σ = 1469916080640. Its totient is φ = 130160040192.

The previous prime is 506501661619. The next prime is 506501661661. The reversal of 506501661660 is 66166105605.

It is a super-2 number, since 2×506501661660² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506501661661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631729 + ... + 1188311.

It is an arithmetic number, because the mean of its divisors is an integer number (15311625840).

Almost surely, 2^506501661660 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 506501661660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734958040320).

506501661660 is an abundant number, since it is smaller than the sum of its proper divisors (963414418980).

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

506501661660 is a wasteful number, since it uses less digits than its factorization.

506501661660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557147 (or 557145 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 506501661660 in words is "five hundred six billion, five hundred one million, six hundred sixty-one thousand, six hundred sixty".