213210252 has 48 divisors (see below), whose sum is σ = 553684320. Its totient is φ = 70952256.

The previous prime is 213210241. The next prime is 213210259. The reversal of 213210252 is 252012312.

It is a super-2 number, since 2×213210252² = 90917223115807008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213210259) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84838 + ... + 87314.

It is an arithmetic number, because the mean of its divisors is an integer number (11535090).

Almost surely, 2^213210252 is an apocalyptic number.

It is an amenable number.

213210252 is an abundant number, since it is smaller than the sum of its proper divisors (340474068).

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

213210252 is a wasteful number, since it uses less digits than its factorization.

213210252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 213210252 is about 14601.7208574880. The cubic root of 213210252 is about 597.4056988364.

Adding to 213210252 its reverse (252012312), we get a palindrome (465222564).

The spelling of 213210252 in words is "two hundred thirteen million, two hundred ten thousand, two hundred fifty-two".