213526120 has 64 divisors (see below), whose sum is σ = 513896400. Its totient is φ = 79564800.

The previous prime is 213526111. The next prime is 213526127. The reversal of 213526120 is 21625312.

It can be written as a sum of positive squares in 8 ways, for example, as 147233956 + 66292164 = 12134^2 + 8142^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213526091 and 213526100.

It is not an unprimeable number, because it can be changed into a prime (213526127) 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 15 ways as a sum of consecutive naturals, for example, 67126 + ... + 70234.

Almost surely, 2^213526120 is an apocalyptic number.

213526120 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 213526120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256948200).

213526120 is an abundant number, since it is smaller than the sum of its proper divisors (300370280).

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

213526120 is a wasteful number, since it uses less digits than its factorization.

213526120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 213526120 is about 14612.5329768661. The cubic root of 213526120 is about 597.7005693254.

It can be divided in two parts, 21352 and 6120, that added together give a palindrome (27472).

The spelling of 213526120 in words is "two hundred thirteen million, five hundred twenty-six thousand, one hundred twenty".