523305340705313 has 2 divisors, whose sum is σ = 523305340705314. Its totient is φ = 523305340705312.

The previous prime is 523305340705297. The next prime is 523305340705333. The reversal of 523305340705313 is 313507043503325.

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., 514362986103184 + 8942354602129 = 22679572^2 + 2990377^2 .

It is a cyclic number.

It is not a de Polignac number, because 523305340705313 - 2⁴ = 523305340705297 is a prime.

It is a super-2 number, since 2×523305340705313² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (523305340705333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261652670352656 + 261652670352657.

It is an arithmetic number, because the mean of its divisors is an integer number (261652670352657).

Almost surely, 2^{523305340705313} is an apocalyptic number.

It is an amenable number.

523305340705313 is a deficient number, since it is larger than the sum of its proper divisors (1).

523305340705313 is an equidigital number, since it uses as much as digits as its factorization.

523305340705313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701000, while the sum is 44.

The spelling of 523305340705313 in words is "five hundred twenty-three trillion, three hundred five billion, three hundred forty million, seven hundred five thousand, three hundred thirteen".