512906000 has 80 divisors (see below), whose sum is σ = 1245656880. Its totient is φ = 204262400.

The previous prime is 512905973. The next prime is 512906011. The reversal of 512906000 is 609215.

It can be written as a sum of positive squares in 8 ways, for example, as 194212096 + 318693904 = 13936^2 + 17852^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633596 + ... + 634404.

It is an arithmetic number, because the mean of its divisors is an integer number (15570711).

Almost surely, 2^512906000 is an apocalyptic number.

512906000 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 512906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622828440).

512906000 is an abundant number, since it is smaller than the sum of its proper divisors (732750880).

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

512906000 is a wasteful number, since it uses less digits than its factorization.

512906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 512906000 is about 22647.4281100526. The cubic root of 512906000 is about 800.4715969408.

The spelling of 512906000 in words is "five hundred twelve million, nine hundred six thousand".