212405025 has 72 divisors (see below), whose sum is σ = 415693632. Its totient is φ = 93744000.

The previous prime is 212405003. The next prime is 212405027. The reversal of 212405025 is 520504212.

It is a happy number.

It is not a de Polignac number, because 212405025 - 2⁸ = 212404769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212404992 and 212405010.

It is not an unprimeable number, because it can be changed into a prime (212405027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 504315 + ... + 504735.

Almost surely, 2^212405025 is an apocalyptic number.

212405025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212405025 is a deficient number, since it is larger than the sum of its proper divisors (203288607).

212405025 is a wasteful number, since it uses less digits than its factorization.

212405025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 212405025 is about 14574.1217574165. The cubic root of 212405025 is about 596.6526799186.

Adding to 212405025 its reverse (520504212), we get a palindrome (732909237).

The spelling of 212405025 in words is "two hundred twelve million, four hundred five thousand, twenty-five".