213118752 has 144 divisors (see below), whose sum is σ = 703031616. Its totient is φ = 55334400.

The previous prime is 213118729. The next prime is 213118771. The reversal of 213118752 is 257811312.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80002 + ... + 82622.

It is an arithmetic number, because the mean of its divisors is an integer number (4882164).

Almost surely, 2^213118752 is an apocalyptic number.

213118752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213118752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351515808).

213118752 is an abundant number, since it is smaller than the sum of its proper divisors (489912864).

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

213118752 is a wasteful number, since it uses less digits than its factorization.

213118752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2644 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 213118752 is about 14598.5873289165. The cubic root of 213118752 is about 597.3202269570.

The spelling of 213118752 in words is "two hundred thirteen million, one hundred eighteen thousand, seven hundred fifty-two".