212131895547653 has 2 divisors, whose sum is σ = 212131895547654. Its totient is φ = 212131895547652.

The previous prime is 212131895547581. The next prime is 212131895547659. The reversal of 212131895547653 is 356745598131212.

212131895547653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157698516649249 + 54433378898404 = 12557807^2 + 7377898^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212131895547653 is a prime.

It is a super-2 number, since 2×212131895547653² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212131895547659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106065947773826 + 106065947773827.

It is an arithmetic number, because the mean of its divisors is an integer number (106065947773827).

Almost surely, 2^{212131895547653} is an apocalyptic number.

It is an amenable number.

212131895547653 is a deficient number, since it is larger than the sum of its proper divisors (1).

212131895547653 is an equidigital number, since it uses as much as digits as its factorization.

212131895547653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54432000, while the sum is 62.

The spelling of 212131895547653 in words is "two hundred twelve trillion, one hundred thirty-one billion, eight hundred ninety-five million, five hundred forty-seven thousand, six hundred fifty-three".