205212025 has 12 divisors (see below), whose sum is σ = 259265772. Its totient is φ = 161071040.

The previous prime is 205211999. The next prime is 205212037. The reversal of 205212025 is 520212502.

It can be written as a sum of positive squares in 6 ways, for example, as 1750329 + 203461696 = 1323^2 + 14264^2 .

It is not a de Polignac number, because 205212025 - 2¹⁵ = 205179257 is a prime.

It is a super-2 number, since 2×205212025² = 84223950409201250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205211993 and 205212011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76114 + ... + 78763.

It is an arithmetic number, because the mean of its divisors is an integer number (21605481).

Almost surely, 2^205212025 is an apocalyptic number.

205212025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205212025 is a deficient number, since it is larger than the sum of its proper divisors (54053747).

205212025 is a wasteful number, since it uses less digits than its factorization.

205212025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154940 (or 154935 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 205212025 is about 14325.2233839476. The cubic root of 205212025 is about 589.8400648557.

Adding to 205212025 its reverse (520212502), we get a palindrome (725424527).

The spelling of 205212025 in words is "two hundred five million, two hundred twelve thousand, twenty-five".