505406322541 has 2 divisors, whose sum is σ = 505406322542. Its totient is φ = 505406322540.

The previous prime is 505406322527. The next prime is 505406322559. The reversal of 505406322541 is 145223604505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 452160760041 + 53245562500 = 672429^2 + 230750^2 .

It is a cyclic number.

It is not a de Polignac number, because 505406322541 - 2¹¹ = 505406320493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505406322541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505406322511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252703161270 + 252703161271.

It is an arithmetic number, because the mean of its divisors is an integer number (252703161271).

Almost surely, 2^505406322541 is an apocalyptic number.

It is an amenable number.

505406322541 is a deficient number, since it is larger than the sum of its proper divisors (1).

505406322541 is an equidigital number, since it uses as much as digits as its factorization.

505406322541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 505406322541 in words is "five hundred five billion, four hundred six million, three hundred twenty-two thousand, five hundred forty-one".