501056000 has 80 divisors (see below), whose sum is σ = 1249574040. Its totient is φ = 200396800.

The previous prime is 501055993. The next prime is 501056009. The reversal of 501056000 is 650105.

It can be written as a sum of positive squares in 4 ways, for example, as 63744256 + 437311744 = 7984^2 + 20912^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 501056000.

It is not an unprimeable number, because it can be changed into a prime (501056009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60086 + ... + 67914.

Almost surely, 2^501056000 is an apocalyptic number.

501056000 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 501056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624787020).

501056000 is an abundant number, since it is smaller than the sum of its proper divisors (748518040).

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

501056000 is an frugal number, since it uses more digits than its factorization.

501056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7862 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 501056000 is about 22384.2801983892. The cubic root of 501056000 is about 794.2588982446.

The spelling of 501056000 in words is "five hundred one million, fifty-six thousand".