506126016 has 112 divisors (see below), whose sum is σ = 1623242880. Its totient is φ = 153365760.

The previous prime is 506126011. The next prime is 506126029. The reversal of 506126016 is 610621605.

It is a happy number.

506126016 is a `hidden beast` number, since 50 + 6 + 1 + 2 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (506126011) 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, 5695 + ... + 32321.

It is an arithmetic number, because the mean of its divisors is an integer number (14493240).

Almost surely, 2^506126016 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 506126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811621440).

506126016 is an abundant number, since it is smaller than the sum of its proper divisors (1117116864).

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

506126016 is a wasteful number, since it uses less digits than its factorization.

506126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26659 (or 26643 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 506126016 is about 22497.2446312876. The cubic root of 506126016 is about 796.9288585328.

The spelling of 506126016 in words is "five hundred six million, one hundred twenty-six thousand, sixteen".