505512000 has 672 divisors, whose sum is σ = 2225283840. Its totient is φ = 106905600.

The previous prime is 505511957. The next prime is 505512011. The reversal of 505512000 is 215505.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8567971 + ... + 8568029.

Almost surely, 2^505512000 is an apocalyptic number.

505512000 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 505512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112641920).

505512000 is an abundant number, since it is smaller than the sum of its proper divisors (1719771840).

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

505512000 is a wasteful number, since it uses less digits than its factorization.

505512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 505512000 is about 22483.5940187506. The cubic root of 505512000 is about 796.6064585331.

Adding to 505512000 its reverse (215505), we get a palindrome (505727505).

The spelling of 505512000 in words is "five hundred five million, five hundred twelve thousand".