512140000 has 120 divisors (see below), whose sum is σ = 1304863560. Its totient is φ = 197568000.

The previous prime is 512139997. The next prime is 512140033. The reversal of 512140000 is 41215.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579559 + ... + 580441.

It is an arithmetic number, because the mean of its divisors is an integer number (10873863).

Almost surely, 2^512140000 is an apocalyptic number.

512140000 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 512140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652431780).

512140000 is an abundant number, since it is smaller than the sum of its proper divisors (792723560).

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

512140000 is an equidigital number, since it uses as much as digits as its factorization.

512140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 512140000 is about 22630.5103786901. The cubic root of 512140000 is about 800.0729100216.

Adding to 512140000 its reverse (41215), we get a palindrome (512181215).

The spelling of 512140000 in words is "five hundred twelve million, one hundred forty thousand".