213127516 has 48 divisors (see below), whose sum is σ = 441649152. Its totient is φ = 88099200.

The previous prime is 213127489. The next prime is 213127517. The reversal of 213127516 is 615721312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213127517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92296 + ... + 94576.

It is an arithmetic number, because the mean of its divisors is an integer number (9201024).

Almost surely, 2^213127516 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 213127516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220824576).

213127516 is an abundant number, since it is smaller than the sum of its proper divisors (228521636).

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

213127516 is a wasteful number, since it uses less digits than its factorization.

213127516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2408 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 213127516 is about 14598.8874918605. The cubic root of 213127516 is about 597.3284146343.

Adding to 213127516 its reverse (615721312), we get a palindrome (828848828).

The spelling of 213127516 in words is "two hundred thirteen million, one hundred twenty-seven thousand, five hundred sixteen".