501461776256341 has 2 divisors, whose sum is σ = 501461776256342. Its totient is φ = 501461776256340.

The previous prime is 501461776256339. The next prime is 501461776256453. The reversal of 501461776256341 is 143652677164105.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 456630100899025 + 44831675357316 = 21368905^2 + 6695646^2 .

It is a cyclic number.

It is not a de Polignac number, because 501461776256341 - 2¹ = 501461776256339 is a prime.

Together with 501461776256339, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (501461776956341) 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, 250730888128170 + 250730888128171.

It is an arithmetic number, because the mean of its divisors is an integer number (250730888128171).

Almost surely, 2^{501461776256341} is an apocalyptic number.

It is an amenable number.

501461776256341 is a deficient number, since it is larger than the sum of its proper divisors (1).

501461776256341 is an equidigital number, since it uses as much as digits as its factorization.

501461776256341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 501461776256341 in words is "five hundred one trillion, four hundred sixty-one billion, seven hundred seventy-six million, two hundred fifty-six thousand, three hundred forty-one".