505777105437341 has 16 divisors (see below), whose sum is σ = 522084546973440. Its totient is φ = 489809710852800.

The previous prime is 505777105437337. The next prime is 505777105437431. The reversal of 505777105437341 is 143734501777505.

It is a cyclic number.

It is not a de Polignac number, because 505777105437341 - 2² = 505777105437337 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505777105487341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295354346 + ... + 297061851.

It is an arithmetic number, because the mean of its divisors is an integer number (32630284185840).

Almost surely, 2^{505777105437341} is an apocalyptic number.

It is an amenable number.

505777105437341 is a deficient number, since it is larger than the sum of its proper divisors (16307441536099).

505777105437341 is a wasteful number, since it uses less digits than its factorization.

505777105437341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592416484.

The product of its (nonzero) digits is 43218000, while the sum is 59.

The spelling of 505777105437341 in words is "five hundred five trillion, seven hundred seventy-seven billion, one hundred five million, four hundred thirty-seven thousand, three hundred forty-one".