213142518 has 96 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 63866880.

The previous prime is 213142499. The next prime is 213142519. The reversal of 213142518 is 815241312.

213142518 is a `hidden beast` number, since 2 + 1 + 3 + 142 + 518 = 666.

213142518 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213142491 and 213142500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213142519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492030 + ... + 492462.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2^213142518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213142518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

213142518 is an abundant number, since it is smaller than the sum of its proper divisors (298699722).

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

213142518 is a wasteful number, since it uses less digits than its factorization.

213142518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 531 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 213142518 is about 14599.4012890940. The cubic root of 213142518 is about 597.3424295783.

It can be divided in two parts, 21314 and 2518, that added together give a palindrome (23832).

The spelling of 213142518 in words is "two hundred thirteen million, one hundred forty-two thousand, five hundred eighteen".