213710520 has 128 divisors (see below), whose sum is σ = 665395200. Its totient is φ = 54867456.

The previous prime is 213710513. The next prime is 213710521. The reversal of 213710520 is 25017312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213710521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563691 + ... + 564069.

It is an arithmetic number, because the mean of its divisors is an integer number (5198400).

Almost surely, 2^213710520 is an apocalyptic number.

213710520 is a gapful number since it is divisible by the number (20) 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 213710520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332697600).

213710520 is an abundant number, since it is smaller than the sum of its proper divisors (451684680).

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

213710520 is a wasteful number, since it uses less digits than its factorization.

213710520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 213710520 is about 14618.8412673508. The cubic root of 213710520 is about 597.8725768107.

Adding to 213710520 its reverse (25017312), we get a palindrome (238727832).

The spelling of 213710520 in words is "two hundred thirteen million, seven hundred ten thousand, five hundred twenty".