213306752 has 64 divisors (see below), whose sum is σ = 457604640. Its totient is φ = 98672640.

The previous prime is 213306733. The next prime is 213306817. The reversal of 213306752 is 257603312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131933 + ... + 133539.

Almost surely, 2^213306752 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 213306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228802320).

213306752 is an abundant number, since it is smaller than the sum of its proper divisors (244297888).

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

213306752 is a wasteful number, since it uses less digits than its factorization.

213306752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 213306752 is about 14605.0248887155. The cubic root of 213306752 is about 597.4958148199.

It can be divided in two parts, 21330 and 6752, that added together give a palindrome (28082).

The spelling of 213306752 in words is "two hundred thirteen million, three hundred six thousand, seven hundred fifty-two".