213314052 has 72 divisors (see below), whose sum is σ = 604207296. Its totient is φ = 58293312.

The previous prime is 213314027. The next prime is 213314071. The reversal of 213314052 is 250413312.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 5638 + ... + 21410.

It is an arithmetic number, because the mean of its divisors is an integer number (8391768).

Almost surely, 2^213314052 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 213314052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302103648).

213314052 is an abundant number, since it is smaller than the sum of its proper divisors (390893244).

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

213314052 is a wasteful number, since it uses less digits than its factorization.

213314052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15817 (or 15808 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 213314052 is about 14605.2748005643. The cubic root of 213314052 is about 597.5026307780.

Adding to 213314052 its reverse (250413312), we get a palindrome (463727364).

The spelling of 213314052 in words is "two hundred thirteen million, three hundred fourteen thousand, fifty-two".