213389952 has 128 divisors (see below), whose sum is σ = 608376960. Its totient is φ = 66097152.

The previous prime is 213389923. The next prime is 213389963. The reversal of 213389952 is 259983312.

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

It is a super-2 number, since 2×213389952² = 91070543229124608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326458 + ... + 327110.

It is an arithmetic number, because the mean of its divisors is an integer number (4752945).

Almost surely, 2^213389952 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 213389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304188480).

213389952 is an abundant number, since it is smaller than the sum of its proper divisors (394987008).

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

213389952 is a wasteful number, since it uses less digits than its factorization.

213389952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 718 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 213389952 is about 14607.8729457782. The cubic root of 213389952 is about 597.5734888572.

The spelling of 213389952 in words is "two hundred thirteen million, three hundred eighty-nine thousand, nine hundred fifty-two".