213523025 has 6 divisors (see below), whose sum is σ = 264768582. Its totient is φ = 170818400.

The previous prime is 213522943. The next prime is 213523033. The reversal of 213523025 is 520325312.

It can be written as a sum of positive squares in 3 ways, for example, as 8116801 + 205406224 = 2849^2 + 14332^2 .

It is not a de Polignac number, because 213523025 - 2¹⁸ = 213260881 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4270436 + ... + 4270485.

It is an arithmetic number, because the mean of its divisors is an integer number (44128097).

Almost surely, 2^213523025 is an apocalyptic number.

213523025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213523025 is a deficient number, since it is larger than the sum of its proper divisors (51245557).

213523025 is an equidigital number, since it uses as much as digits as its factorization.

213523025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540931 (or 8540926 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 213523025 is about 14612.4270742406. The cubic root of 213523025 is about 597.6976814785.

Adding to 213523025 its reverse (520325312), we get a palindrome (733848337).

The spelling of 213523025 in words is "two hundred thirteen million, five hundred twenty-three thousand, twenty-five".