512009800 has 24 divisors (see below), whose sum is σ = 1190423250. Its totient is φ = 204803840.

The previous prime is 512009767. The next prime is 512009803. The reversal of 512009800 is 8900215.

It can be written as a sum of positive squares in 3 ways, for example, as 501132996 + 10876804 = 22386^2 + 3298^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (512009803) 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, 1279825 + ... + 1280224.

Almost surely, 2^512009800 is an apocalyptic number.

512009800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512009800 is an abundant number, since it is smaller than the sum of its proper divisors (678413450).

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

512009800 is a wasteful number, since it uses less digits than its factorization.

512009800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560065 (or 2560056 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 512009800 is about 22627.6335483850. The cubic root of 512009800 is about 800.0051041341.

It can be divided in two parts, 51200 and 9800, that multiplied together give a square (501760000 = 22400²).

The spelling of 512009800 in words is "five hundred twelve million, nine thousand, eight hundred".