213052000 has 144 divisors (see below), whose sum is σ = 609493248. Its totient is φ = 72979200.

The previous prime is 213051989. The next prime is 213052003. The reversal of 213052000 is 250312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213052003) 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 23 ways as a sum of consecutive naturals, for example, 195457 + ... + 196543.

It is an arithmetic number, because the mean of its divisors is an integer number (4232592).

Almost surely, 2^213052000 is an apocalyptic number.

213052000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304746624).

213052000 is an abundant number, since it is smaller than the sum of its proper divisors (396441248).

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

213052000 is a wasteful number, since it uses less digits than its factorization.

213052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 213052000 is about 14596.3009012558. The cubic root of 213052000 is about 597.2578572171.

The spelling of 213052000 in words is "two hundred thirteen million, fifty-two thousand".