212125313 has 2 divisors, whose sum is σ = 212125314. Its totient is φ = 212125312.

The previous prime is 212125289. The next prime is 212125379. The reversal of 212125313 is 313521212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197318209 + 14807104 = 14047^2 + 3848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212125313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212125013) 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 as a sum of consecutive naturals, namely, 106062656 + 106062657.

It is an arithmetic number, because the mean of its divisors is an integer number (106062657).

Almost surely, 2^212125313 is an apocalyptic number.

It is an amenable number.

212125313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212125313 is an equidigital number, since it uses as much as digits as its factorization.

212125313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 20.

The square root of 212125313 is about 14564.5224089223. The cubic root of 212125313 is about 596.3906581413.

Adding to 212125313 its reverse (313521212), we get a palindrome (525646525).

The spelling of 212125313 in words is "two hundred twelve million, one hundred twenty-five thousand, three hundred thirteen".