213639552 has 128 divisors (see below), whose sum is σ = 720691200. Its totient is φ = 61032960.

The previous prime is 213639539. The next prime is 213639557. The reversal of 213639552 is 255936312.

213639552 is a `hidden beast` number, since 2 + 13 + 639 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213639557) 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, 19777 + ... + 28607.

It is an arithmetic number, because the mean of its divisors is an integer number (5630400).

Almost surely, 2^213639552 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 213639552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360345600).

213639552 is an abundant number, since it is smaller than the sum of its proper divisors (507051648).

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

213639552 is an equidigital number, since it uses as much as digits as its factorization.

213639552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8861 (or 8843 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 213639552 is about 14616.4137872462. The cubic root of 213639552 is about 597.8063898981.

The spelling of 213639552 in words is "two hundred thirteen million, six hundred thirty-nine thousand, five hundred fifty-two".