52552000 has 56 divisors (see below), whose sum is σ = 130164840. Its totient is φ = 21017600.

The previous prime is 52551997. The next prime is 52552009. The reversal of 52552000 is 25525.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 52533504 = 136^2 + 7248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52552009) 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, 4716 + ... + 11284.

Almost surely, 2^52552000 is an apocalyptic number.

52552000 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 52552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65082420).

52552000 is an abundant number, since it is smaller than the sum of its proper divisors (77612840).

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

52552000 is an equidigital number, since it uses as much as digits as its factorization.

52552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 52552000 is about 7249.2758259015. The cubic root of 52552000 is about 374.5672043971.

Adding to 52552000 its reverse (25525), we get a palindrome (52577525).

It can be divided in two parts, 525 and 52000, that added together give a palindrome (52525).

The spelling of 52552000 in words is "fifty-two million, five hundred fifty-two thousand".