506100992 has 72 divisors (see below), whose sum is σ = 1036614600. Its totient is φ = 246546432.

The previous prime is 506100989. The next prime is 506101003. The reversal of 506100992 is 299001605.

It can be written as a sum of positive squares in 4 ways, for example, as 100320256 + 405780736 = 10016^2 + 20144^2 .

It is a super-2 number, since 2×506100992² = 512276428206768128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2209934 + ... + 2210162.

It is an arithmetic number, because the mean of its divisors is an integer number (14397425).

Almost surely, 2^506100992 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 506100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518307300).

506100992 is an abundant number, since it is smaller than the sum of its proper divisors (530513608).

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

506100992 is an equidigital number, since it uses as much as digits as its factorization.

506100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 506100992 is about 22496.6884674167. The cubic root of 506100992 is about 796.9157243358.

The spelling of 506100992 in words is "five hundred six million, one hundred thousand, nine hundred ninety-two".