501572000 has 96 divisors (see below), whose sum is σ = 1266042960. Its totient is φ = 195148800.

The previous prime is 501571999. The next prime is 501572009. The reversal of 501572000 is 275105.

It can be written as a sum of positive squares in 8 ways, for example, as 215150224 + 286421776 = 14668^2 + 16924^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (501572009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146306 + ... + 149694.

Almost surely, 2^501572000 is an apocalyptic number.

501572000 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 501572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633021480).

501572000 is an abundant number, since it is smaller than the sum of its proper divisors (764470960).

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

501572000 is a wasteful number, since it uses less digits than its factorization.

501572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 501572000 is about 22395.8031782743. The cubic root of 501572000 is about 794.5314539303.

The spelling of 501572000 in words is "five hundred one million, five hundred seventy-two thousand".