552513600 has 504 divisors, whose sum is σ = 2170483848. Its totient is φ = 132710400.

The previous prime is 552513553. The next prime is 552513607. The reversal of 552513600 is 6315255.

552513600 is a `hidden beast` number, since 5 + 5 + 2 + 51 + 3 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 109495296 + 443018304 = 10464^2 + 21048^2 .

It is not an unprimeable number, because it can be changed into a prime (552513607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9057570 + ... + 9057630.

Almost surely, 2^552513600 is an apocalyptic number.

552513600 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 552513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085241924).

552513600 is an abundant number, since it is smaller than the sum of its proper divisors (1617970248).

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

552513600 is a wasteful number, since it uses less digits than its factorization.

552513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 552513600 is about 23505.6078415343. The cubic root of 552513600 is about 820.5675230490.

Adding to 552513600 its reverse (6315255), we get a palindrome (558828855).

The spelling of 552513600 in words is "five hundred fifty-two million, five hundred thirteen thousand, six hundred".