200512512 has 66 divisors (see below), whose sum is σ = 579002138. Its totient is φ = 66834432.

The previous prime is 200512463. The next prime is 200512517. The reversal of 200512512 is 215215002.

200512512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 196448256 + 4064256 = 14016^2 + 2016^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200512517) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1663 + ... + 20094.

Almost surely, 2^200512512 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 200512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289501069).

200512512 is an abundant number, since it is smaller than the sum of its proper divisors (378489626).

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

200512512 is a wasteful number, since it uses less digits than its factorization.

200512512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21783 (or 21762 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 200512512 is about 14160.2440656932. The cubic root of 200512512 is about 585.3026529490.

Adding to 200512512 its reverse (215215002), we get a palindrome (415727514).

The spelling of 200512512 in words is "two hundred million, five hundred twelve thousand, five hundred twelve".