213034752 has 432 divisors, whose sum is σ = 796914720. Its totient is φ = 55738368.

The previous prime is 213034721. The next prime is 213034793. The reversal of 213034752 is 257430312.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 5757678 + ... + 5757714.

It is an arithmetic number, because the mean of its divisors is an integer number (1844710).

Almost surely, 2^213034752 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 213034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398457360).

213034752 is an abundant number, since it is smaller than the sum of its proper divisors (583879968).

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

213034752 is a wasteful number, since it uses less digits than its factorization.

213034752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 213034752 is about 14595.7100546702. The cubic root of 213034752 is about 597.2417394281.

The spelling of 213034752 in words is "two hundred thirteen million, thirty-four thousand, seven hundred fifty-two".