213016752 has 240 divisors, whose sum is σ = 694643040. Its totient is φ = 60383232.

The previous prime is 213016751. The next prime is 213016759. The reversal of 213016752 is 257610312.

It is a happy number.

It is a super-2 number, since 2×213016752² = 90752273265259008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213016751) 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 47 ways as a sum of consecutive naturals, for example, 1885048 + ... + 1885160.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^213016752 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 213016752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347321520).

213016752 is an abundant number, since it is smaller than the sum of its proper divisors (481626288).

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

213016752 is a wasteful number, since it uses less digits than its factorization.

213016752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 213016752 is about 14595.0934221059. The cubic root of 213016752 is about 597.2249179878.

The spelling of 213016752 in words is "two hundred thirteen million, sixteen thousand, seven hundred fifty-two".