506257128 has 160 divisors (see below), whose sum is σ = 1607944800. Its totient is φ = 147526272.

The previous prime is 506257121. The next prime is 506257177. The reversal of 506257128 is 821752605.

It is a happy number.

506257128 is a `hidden beast` number, since 5 + 0 + 62 + 571 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 506257092 and 506257101.

It is not an unprimeable number, because it can be changed into a prime (506257121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158475 + ... + 161637.

It is an arithmetic number, because the mean of its divisors is an integer number (10049655).

Almost surely, 2^506257128 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 506257128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803972400).

506257128 is an abundant number, since it is smaller than the sum of its proper divisors (1101687672).

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

506257128 is a wasteful number, since it uses less digits than its factorization.

506257128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 506257128 is about 22500.1583994424. The cubic root of 506257128 is about 796.9976674276.

The spelling of 506257128 in words is "five hundred six million, two hundred fifty-seven thousand, one hundred twenty-eight".