213638508 has 72 divisors (see below), whose sum is σ = 570489920. Its totient is φ = 67223520.

The previous prime is 213638497. The next prime is 213638521. The reversal of 213638508 is 805836312.

213638508 is a `hidden beast` number, since 2 + 13 + 638 + 5 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 373863 + ... + 374433.

Almost surely, 2^213638508 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 213638508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285244960).

213638508 is an abundant number, since it is smaller than the sum of its proper divisors (356851412).

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

213638508 is a wasteful number, since it uses less digits than its factorization.

213638508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 213638508 is about 14616.3780739279. The cubic root of 213638508 is about 597.8054161226.

The spelling of 213638508 in words is "two hundred thirteen million, six hundred thirty-eight thousand, five hundred eight".