52509000 has 128 divisors (see below), whose sum is σ = 171175680. Its totient is φ = 13376000.

The previous prime is 52508933. The next prime is 52509001. The reversal of 52509000 is 90525.

It is not an unprimeable number, because it can be changed into a prime (52509001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68620 + ... + 69380.

It is an arithmetic number, because the mean of its divisors is an integer number (1337310).

Almost surely, 2^52509000 is an apocalyptic number.

52509000 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 52509000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

52509000 is an abundant number, since it is smaller than the sum of its proper divisors (118666680).

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

52509000 is a wasteful number, since it uses less digits than its factorization.

52509000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 52509000 is about 7246.3094054836. The cubic root of 52509000 is about 374.4650149166.

Adding to 52509000 its reverse (90525), we get a palindrome (52599525).

The spelling of 52509000 in words is "fifty-two million, five hundred nine thousand".