552523825152 has 640 divisors, whose sum is σ = 1811785852800. Its totient is φ = 166769197056.

The previous prime is 552523825151. The next prime is 552523825187. The reversal of 552523825152 is 251528325255.

552523825152 is a `hidden beast` number, since 5 + 5 + 2 + 52 + 3 + 82 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 552523825098 and 552523825107.

It is not an unprimeable number, because it can be changed into a prime (552523825151) 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 39 ways as a sum of consecutive naturals, for example, 2311815049 + ... + 2311815287.

It is an arithmetic number, because the mean of its divisors is an integer number (2830915395).

Almost surely, 2^552523825152 is an apocalyptic number.

552523825152 is a gapful number since it is divisible by the number (52) 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 552523825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905892926400).

552523825152 is an abundant number, since it is smaller than the sum of its proper divisors (1259262027648).

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

552523825152 is an equidigital number, since it uses as much as digits as its factorization.

552523825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 324 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The spelling of 552523825152 in words is "five hundred fifty-two billion, five hundred twenty-three million, eight hundred twenty-five thousand, one hundred fifty-two".