506521080 has 256 divisors, whose sum is σ = 1862784000. Its totient is φ = 121637376.

The previous prime is 506521073. The next prime is 506521087. The reversal of 506521080 is 80125605.

506521080 is a `hidden beast` number, since 5 + 0 + 652 + 1 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506521073) and next prime (506521087).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506521087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603301 + ... + 604139.

It is an arithmetic number, because the mean of its divisors is an integer number (7276500).

Almost surely, 2^506521080 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 506521080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392000).

506521080 is an abundant number, since it is smaller than the sum of its proper divisors (1356262920).

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

506521080 is a wasteful number, since it uses less digits than its factorization.

506521080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 506521080 is about 22506.0231938030. The cubic root of 506521080 is about 797.1361560641.

Adding to 506521080 its reverse (80125605), we get a palindrome (586646685).

The spelling of 506521080 in words is "five hundred six million, five hundred twenty-one thousand, eighty".