213609552 has 160 divisors (see below), whose sum is σ = 641625600. Its totient is φ = 60673536.

The previous prime is 213609551. The next prime is 213609553. The reversal of 213609552 is 255906312.

213609552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213609551) and next prime (213609553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213609551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509599 + ... + 510017.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2^213609552 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 213609552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320812800).

213609552 is an abundant number, since it is smaller than the sum of its proper divisors (428016048).

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

213609552 is a wasteful number, since it uses less digits than its factorization.

213609552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 213609552 is about 14615.3875076920. The cubic root of 213609552 is about 597.7784065791.

The spelling of 213609552 in words is "two hundred thirteen million, six hundred nine thousand, five hundred fifty-two".