505293348641 has 2 divisors, whose sum is σ = 505293348642. Its totient is φ = 505293348640.

The previous prime is 505293348631. The next prime is 505293348643. The reversal of 505293348641 is 146843392505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 498441648016 + 6851700625 = 706004^2 + 82775^2 .

It is a cyclic number.

It is not a de Polignac number, because 505293348641 - 2³⁴ = 488113479457 is a prime.

Together with 505293348643, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505293348641.

It is not a weakly prime, because it can be changed into another prime (505293348643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252646674320 + 252646674321.

It is an arithmetic number, because the mean of its divisors is an integer number (252646674321).

Almost surely, 2^505293348641 is an apocalyptic number.

It is an amenable number.

505293348641 is a deficient number, since it is larger than the sum of its proper divisors (1).

505293348641 is an equidigital number, since it uses as much as digits as its factorization.

505293348641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 505293348641 in words is "five hundred five billion, two hundred ninety-three million, three hundred forty-eight thousand, six hundred forty-one".