213005325 has 96 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 96768000.

The previous prime is 213005321. The next prime is 213005341. The reversal of 213005325 is 523500312.

It is not a de Polignac number, because 213005325 - 2² = 213005321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213005321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1176735 + ... + 1176915.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2^213005325 is an apocalyptic number.

213005325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213005325 is a deficient number, since it is larger than the sum of its proper divisors (196468467).

213005325 is a wasteful number, since it uses less digits than its factorization.

213005325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 213005325 is about 14594.7019496802. The cubic root of 213005325 is about 597.2142386850.

Adding to 213005325 its reverse (523500312), we get a palindrome (736505637).

It can be divided in two parts, 21300 and 5325, that multiplied together give a square (113422500 = 10650²).

The spelling of 213005325 in words is "two hundred thirteen million, five thousand, three hundred twenty-five".