213093504 has 384 divisors, whose sum is σ = 748500480. Its totient is φ = 59719680.

The previous prime is 213093481. The next prime is 213093511. The reversal of 213093504 is 405390312.

213093504 is a `hidden beast` number, since 2 + 1 + 309 + 350 + 4 = 666.

213093504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6873969 + ... + 6873999.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^213093504 is an apocalyptic number.

213093504 is a gapful number since it is divisible by the number (24) 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 213093504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

213093504 is an abundant number, since it is smaller than the sum of its proper divisors (535406976).

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

213093504 is a wasteful number, since it uses less digits than its factorization.

213093504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 213093504 is about 14597.7225620985. The cubic root of 213093504 is about 597.2966380165.

The spelling of 213093504 in words is "two hundred thirteen million, ninety-three thousand, five hundred four".