213301625 has 16 divisors (see below), whose sum is σ = 268573968. Its totient is φ = 169120000.

The previous prime is 213301603. The next prime is 213301643. The reversal of 213301625 is 526103312.

It can be written as a sum of positive squares in 8 ways, for example, as 176916601 + 36385024 = 13301^2 + 6032^2 .

It is not a de Polignac number, because 213301625 - 2²⁴ = 196524409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213301625.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6575 + ... + 21675.

It is an arithmetic number, because the mean of its divisors is an integer number (16785873).

Almost surely, 2^213301625 is an apocalyptic number.

213301625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213301625 is a deficient number, since it is larger than the sum of its proper divisors (55272343).

213301625 is a wasteful number, since it uses less digits than its factorization.

213301625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15229 (or 15219 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 213301625 is about 14604.8493658784. The cubic root of 213301625 is about 597.4910276834.

Adding to 213301625 its reverse (526103312), we get a palindrome (739404937).

The spelling of 213301625 in words is "two hundred thirteen million, three hundred one thousand, six hundred twenty-five".