495523129046401 has 2 divisors, whose sum is σ = 495523129046402. Its totient is φ = 495523129046400.

The previous prime is 495523129046399. The next prime is 495523129046437. The reversal of 495523129046401 is 104640921325594.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 447561950035600 + 47961179010801 = 21155660^2 + 6925401^2 .

It is a cyclic number.

It is not a de Polignac number, because 495523129046401 - 2¹ = 495523129046399 is a prime.

It is a super-2 number, since 2×495523129046401² (a number of 30 digits) contains 22 as substring.

Together with 495523129046399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (495523129046461) 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, 247761564523200 + 247761564523201.

It is an arithmetic number, because the mean of its divisors is an integer number (247761564523201).

Almost surely, 2^{495523129046401} is an apocalyptic number.

It is an amenable number.

495523129046401 is a deficient number, since it is larger than the sum of its proper divisors (1).

495523129046401 is an equidigital number, since it uses as much as digits as its factorization.

495523129046401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 495523129046401 in words is "four hundred ninety-five trillion, five hundred twenty-three billion, one hundred twenty-nine million, forty-six thousand, four hundred one".