512245000 has 80 divisors (see below), whose sum is σ = 1223467740. Its totient is φ = 200928000.

The previous prime is 512244923. The next prime is 512245039. The reversal of 512245000 is 542215.

It can be written as a sum of positive squares in 10 ways, for example, as 3020644 + 509224356 = 1738^2 + 22566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264034 + ... + 265966.

Almost surely, 2^512245000 is an apocalyptic number.

512245000 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 512245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611733870).

512245000 is an abundant number, since it is smaller than the sum of its proper divisors (711222740).

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

512245000 is a wasteful number, since it uses less digits than its factorization.

512245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 512245000 is about 22632.8301367726. The cubic root of 512245000 is about 800.1275838185.

Adding to 512245000 its reverse (542215), we get a palindrome (512787215).

It can be divided in two parts, 512 and 245000, that multiplied together give a square (125440000 = 11200²).

The spelling of 512245000 in words is "five hundred twelve million, two hundred forty-five thousand".