523221341252353 has 2 divisors, whose sum is σ = 523221341252354. Its totient is φ = 523221341252352.

The previous prime is 523221341252321. The next prime is 523221341252369. The reversal of 523221341252353 is 353252143122325.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 515574606487824 + 7646734764529 = 22706268^2 + 2765273^2 .

It is a cyclic number.

It is not a de Polignac number, because 523221341252353 - 2⁵ = 523221341252321 is a prime.

It is a super-2 number, since 2×523221341252353² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (523221141252353) 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, 261610670626176 + 261610670626177.

It is an arithmetic number, because the mean of its divisors is an integer number (261610670626177).

Almost surely, 2^{523221341252353} is an apocalyptic number.

It is an amenable number.

523221341252353 is a deficient number, since it is larger than the sum of its proper divisors (1).

523221341252353 is an equidigital number, since it uses as much as digits as its factorization.

523221341252353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296000, while the sum is 43.

Adding to 523221341252353 its reverse (353252143122325), we get a palindrome (876473484374678).

The spelling of 523221341252353 in words is "five hundred twenty-three trillion, two hundred twenty-one billion, three hundred forty-one million, two hundred fifty-two thousand, three hundred fifty-three".