523314110320409 has 2 divisors, whose sum is σ = 523314110320410. Its totient is φ = 523314110320408.

The previous prime is 523314110320387. The next prime is 523314110320439. The reversal of 523314110320409 is 904023011413325.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 387253083490009 + 136061026830400 = 19678747^2 + 11664520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-523314110320409 is a prime.

It is not a weakly prime, because it can be changed into another prime (523314110320439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261657055160204 + 261657055160205.

It is an arithmetic number, because the mean of its divisors is an integer number (261657055160205).

Almost surely, 2^{523314110320409} is an apocalyptic number.

It is an amenable number.

523314110320409 is a deficient number, since it is larger than the sum of its proper divisors (1).

523314110320409 is an equidigital number, since it uses as much as digits as its factorization.

523314110320409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 523314110320409 in words is "five hundred twenty-three trillion, three hundred fourteen billion, one hundred ten million, three hundred twenty thousand, four hundred nine".