213207552 has 200 divisors, whose sum is σ = 655059636. Its totient is φ = 69009408.

The previous prime is 213207541. The next prime is 213207563. The reversal of 213207552 is 255702312.

It is an interprime number because it is at equal distance from previous prime (213207541) and next prime (213207563).

It can be written as a sum of positive squares in 2 ways, for example, as 211527936 + 1679616 = 14544^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2197968 + ... + 2198064.

Almost surely, 2^213207552 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 213207552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327529818).

213207552 is an abundant number, since it is smaller than the sum of its proper divisors (441852084).

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

213207552 is an frugal number, since it uses more digits than its factorization.

213207552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 213207552 is about 14601.6284023392. The cubic root of 213207552 is about 597.4031770656.

Adding to 213207552 its reverse (255702312), we get a palindrome (468909864).

The spelling of 213207552 in words is "two hundred thirteen million, two hundred seven thousand, five hundred fifty-two".