506520000 has 560 divisors, whose sum is σ = 2158309120. Its totient is φ = 114048000.

The previous prime is 506519999. The next prime is 506520013. The reversal of 506520000 is 25605.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7559967 + ... + 7560033.

Almost surely, 2^506520000 is an apocalyptic number.

506520000 is a gapful number since it is divisible by the number (50) 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 506520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079154560).

506520000 is an abundant number, since it is smaller than the sum of its proper divisors (1651789120).

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

506520000 is an equidigital number, since it uses as much as digits as its factorization.

506520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 506520000 is about 22505.9992002133. Note that the first 3 decimals coincide. The cubic root of 506520000 is about 797.1355895147.

Adding to 506520000 its reverse (25605), we get a palindrome (506545605).

The spelling of 506520000 in words is "five hundred six million, five hundred twenty thousand".