505363111129 has 2 divisors, whose sum is σ = 505363111130. Its totient is φ = 505363111128.

The previous prime is 505363111109. The next prime is 505363111147. The reversal of 505363111129 is 921111363505.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 435140761104 + 70222350025 = 659652^2 + 264995^2 .

It is a cyclic number.

It is not a de Polignac number, because 505363111129 - 2¹⁵ = 505363078361 is a prime.

It is not a weakly prime, because it can be changed into another prime (505363111109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252681555564 + 252681555565.

It is an arithmetic number, because the mean of its divisors is an integer number (252681555565).

Almost surely, 2^505363111129 is an apocalyptic number.

It is an amenable number.

505363111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

505363111129 is an equidigital number, since it uses as much as digits as its factorization.

505363111129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24300, while the sum is 37.

The spelling of 505363111129 in words is "five hundred five billion, three hundred sixty-three million, one hundred eleven thousand, one hundred twenty-nine".