213305508 has 96 divisors (see below), whose sum is σ = 600387200. Its totient is φ = 65100672.

The previous prime is 213305501. The next prime is 213305537. The reversal of 213305508 is 805503312.

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

It is not an unprimeable number, because it can be changed into a prime (213305501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194610 + ... + 195702.

Almost surely, 2^213305508 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 213305508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300193600).

213305508 is an abundant number, since it is smaller than the sum of its proper divisors (387081692).

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

213305508 is a wasteful number, since it uses less digits than its factorization.

213305508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 213305508 is about 14604.9823005713. The cubic root of 213305508 is about 597.4946532904.

The spelling of 213305508 in words is "two hundred thirteen million, three hundred five thousand, five hundred eight".