213513225 has 48 divisors (see below), whose sum is σ = 369619200. Its totient is φ = 108613120.

The previous prime is 213513197. The next prime is 213513229. The reversal of 213513225 is 522315312.

It is a happy number.

213513225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213513225 - 2⁸ = 213512969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213513195 and 213513204.

It is not an unprimeable number, because it can be changed into a prime (213513229) 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, 193024 + ... + 194126.

It is an arithmetic number, because the mean of its divisors is an integer number (7700400).

Almost surely, 2^213513225 is an apocalyptic number.

213513225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213513225 is a deficient number, since it is larger than the sum of its proper divisors (156105975).

213513225 is a wasteful number, since it uses less digits than its factorization.

213513225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 213513225 is about 14612.0917393780. The cubic root of 213513225 is about 597.6885372236.

Adding to 213513225 its reverse (522315312), we get a palindrome (735828537).

The spelling of 213513225 in words is "two hundred thirteen million, five hundred thirteen thousand, two hundred twenty-five".