506561328 has 480 divisors, whose sum is σ = 1906544640. Its totient is φ = 121927680.

The previous prime is 506561327. The next prime is 506561369. The reversal of 506561328 is 823165605.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 506561292 and 506561301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506561323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11780475 + ... + 11780517.

It is an arithmetic number, because the mean of its divisors is an integer number (3971968).

Almost surely, 2^506561328 is an apocalyptic number.

506561328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506561328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953272320).

506561328 is an abundant number, since it is smaller than the sum of its proper divisors (1399983312).

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

506561328 is a wasteful number, since it uses less digits than its factorization.

506561328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 506561328 is about 22506.9173366767. The cubic root of 506561328 is about 797.1572688980.

It can be divided in two parts, 50656 and 1328, that added together give a square (51984 = 228²).

The spelling of 506561328 in words is "five hundred six million, five hundred sixty-one thousand, three hundred twenty-eight".