212511441253 has 2 divisors, whose sum is σ = 212511441254. Its totient is φ = 212511441252.

The previous prime is 212511441251. The next prime is 212511441271. The reversal of 212511441253 is 352144115212.

212511441253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147408387844 + 65103053409 = 383938^2 + 255153^2 .

It is a cyclic number.

It is not a de Polignac number, because 212511441253 - 2¹ = 212511441251 is a prime.

It is a super-2 number, since 2×212511441253² (a number of 23 digits) contains 22 as substring.

Together with 212511441251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212511441251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106255720626 + 106255720627.

It is an arithmetic number, because the mean of its divisors is an integer number (106255720627).

Almost surely, 2^212511441253 is an apocalyptic number.

It is an amenable number.

212511441253 is a deficient number, since it is larger than the sum of its proper divisors (1).

212511441253 is an equidigital number, since it uses as much as digits as its factorization.

212511441253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9600, while the sum is 31.

Adding to 212511441253 its reverse (352144115212), we get a palindrome (564655556465).

The spelling of 212511441253 in words is "two hundred twelve billion, five hundred eleven million, four hundred forty-one thousand, two hundred fifty-three".