213325056 has 144 divisors (see below), whose sum is σ = 721123200. Its totient is φ = 60936192.

The previous prime is 213325039. The next prime is 213325067. The reversal of 213325056 is 650523312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46180 + ... + 50588.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^213325056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360561600).

213325056 is an abundant number, since it is smaller than the sum of its proper divisors (507798144).

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

213325056 is an equidigital number, since it uses as much as digits as its factorization.

213325056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 213325056 is about 14605.6515089194. The cubic root of 213325056 is about 597.5129048408.

Adding to 213325056 its reverse (650523312), we get a palindrome (863848368).

The spelling of 213325056 in words is "two hundred thirteen million, three hundred twenty-five thousand, fifty-six".