505212112289 has 2 divisors, whose sum is σ = 505212112290. Its totient is φ = 505212112288.

The previous prime is 505212112213. The next prime is 505212112297. The reversal of 505212112289 is 982211212505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336738805264 + 168473307025 = 580292^2 + 410455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-505212112289 is a prime.

It is not a weakly prime, because it can be changed into another prime (505212114289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252606056144 + 252606056145.

It is an arithmetic number, because the mean of its divisors is an integer number (252606056145).

Almost surely, 2^505212112289 is an apocalyptic number.

It is an amenable number.

505212112289 is a deficient number, since it is larger than the sum of its proper divisors (1).

505212112289 is an equidigital number, since it uses as much as digits as its factorization.

505212112289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 38.

The spelling of 505212112289 in words is "five hundred five billion, two hundred twelve million, one hundred twelve thousand, two hundred eighty-nine".