213052 has 18 divisors (see below), whose sum is σ = 434112. Its totient is φ = 91224.

The previous prime is 213043. The next prime is 213067. The reversal of 213052 is 250312.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 348 + ... + 739.

2²¹³⁰⁵² is an apocalyptic number.

It is an amenable number.

213052 is an abundant number, since it is smaller than the sum of its proper divisors (221060).

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

213052 is a wasteful number, since it uses less digits than its factorization.

213052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1096 counting only the distinct ones).

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

The square root of 213052 is about 461.5755626114. The cubic root of 213052 is about 59.7257857217.

Adding to 213052 its reverse (250312), we get a palindrome (463364).

The spelling of 213052 in words is "two hundred thirteen thousand, fifty-two".