213252309 has 24 divisors (see below), whose sum is σ = 312405600. Its totient is φ = 140162400.

The previous prime is 213252289. The next prime is 213252353. The reversal of 213252309 is 903252312.

213252309 is a `hidden beast` number, since 2 + 132 + 523 + 0 + 9 = 666.

It is not a de Polignac number, because 213252309 - 2¹³ = 213244117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213252359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344202 + ... + 344820.

It is an arithmetic number, because the mean of its divisors is an integer number (13016900).

Almost surely, 2^213252309 is an apocalyptic number.

It is an amenable number.

213252309 is a deficient number, since it is larger than the sum of its proper divisors (99153291).

213252309 is a wasteful number, since it uses less digits than its factorization.

213252309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 213252309 is about 14603.1609249505. The cubic root of 213252309 is about 597.4449768721. Note that the first 3 decimals are identical.

The spelling of 213252309 in words is "two hundred thirteen million, two hundred fifty-two thousand, three hundred nine".