506501666100 has 54 divisors (see below), whose sum is σ = 1587601336230. Its totient is φ = 135067110720.

The previous prime is 506501666057. The next prime is 506501666107. The reversal of 506501666100 is 1666105605.

It can be written as a sum of positive squares in 3 ways, for example, as 7554391056 + 498947275044 = 86916^2 + 706362^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506501666107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 281388915 + ... + 281390714.

It is an arithmetic number, because the mean of its divisors is an integer number (29400024745).

Almost surely, 2^506501666100 is an apocalyptic number.

506501666100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506501666100 is an abundant number, since it is smaller than the sum of its proper divisors (1081099670130).

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

506501666100 is a wasteful number, since it uses less digits than its factorization.

506501666100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562779649 (or 562779639 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 506501666100 in words is "five hundred six billion, five hundred one million, six hundred sixty-six thousand, one hundred".