505410032335601 has 2 divisors, whose sum is σ = 505410032335602. Its totient is φ = 505410032335600.

The previous prime is 505410032335541. The next prime is 505410032335603. The reversal of 505410032335601 is 106533230014505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273012172686400 + 232397859649201 = 16523080^2 + 15244601^2 .

It is a cyclic number.

It is not a de Polignac number, because 505410032335601 - 2³⁴ = 505392852466417 is a prime.

It is a super-2 number, since 2×505410032335601² (a number of 30 digits) contains 22 as substring.

Together with 505410032335603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (505410032335603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252705016167800 + 252705016167801.

It is an arithmetic number, because the mean of its divisors is an integer number (252705016167801).

Almost surely, 2^{505410032335601} is an apocalyptic number.

It is an amenable number.

505410032335601 is a deficient number, since it is larger than the sum of its proper divisors (1).

505410032335601 is an equidigital number, since it uses as much as digits as its factorization.

505410032335601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 505410032335601 in words is "five hundred five trillion, four hundred ten billion, thirty-two million, three hundred thirty-five thousand, six hundred one".