505212042337 has 2 divisors, whose sum is σ = 505212042338. Its totient is φ = 505212042336.

The previous prime is 505212042319. The next prime is 505212042341. The reversal of 505212042337 is 733240212505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320147745856 + 185064296481 = 565816^2 + 430191^2 .

It is a cyclic number.

It is not a de Polignac number, because 505212042337 - 2²³ = 505203653729 is a prime.

It is not a weakly prime, because it can be changed into another prime (505212042637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252606021168 + 252606021169.

It is an arithmetic number, because the mean of its divisors is an integer number (252606021169).

Almost surely, 2^505212042337 is an apocalyptic number.

It is an amenable number.

505212042337 is a deficient number, since it is larger than the sum of its proper divisors (1).

505212042337 is an equidigital number, since it uses as much as digits as its factorization.

505212042337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 34.

The spelling of 505212042337 in words is "five hundred five billion, two hundred twelve million, forty-two thousand, three hundred thirty-seven".