506638112 has 54 divisors (see below), whose sum is σ = 1048758417. Its totient is φ = 240904576.

The previous prime is 506638073. The next prime is 506638127. The reversal of 506638112 is 211836605.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 398561296 + 108076816 = 19964^2 + 10396^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15916.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2928458 + ... + 2928630.

Almost surely, 2^506638112 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 506638112

506638112 is an abundant number, since it is smaller than the sum of its proper divisors (542120305).

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

506638112 is an equidigital number, since it uses as much as digits as its factorization.

506638112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 506638112 is about 22508.6230587302. The cubic root of 506638112 is about 797.1975442658.

Multiplying 506638112 by its sum of digits (32), we get a square (16212419584 = 127328²).

506638112 divided by its sum of digits (32) gives a square (15832441 = 3979²).

The spelling of 506638112 in words is "five hundred six million, six hundred thirty-eight thousand, one hundred twelve".