13235052303953 has 2 divisors, whose sum is σ = 13235052303954. Its totient is φ = 13235052303952.

The previous prime is 13235052303929. The next prime is 13235052304039. The reversal of 13235052303953 is 35930325053231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13214918964289 + 20133339664 = 3635233^2 + 141892^2 .

It is a cyclic number.

It is not a de Polignac number, because 13235052303953 - 2¹⁶ = 13235052238417 is a prime.

It is a super-4 number, since 4×13235052303953⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13235052303353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6617526151976 + 6617526151977.

It is an arithmetic number, because the mean of its divisors is an integer number (6617526151977).

Almost surely, 2^{13235052303953} is an apocalyptic number.

It is an amenable number.

13235052303953 is a deficient number, since it is larger than the sum of its proper divisors (1).

13235052303953 is an equidigital number, since it uses as much as digits as its factorization.

13235052303953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1093500, while the sum is 44.

The spelling of 13235052303953 in words is "thirteen trillion, two hundred thirty-five billion, fifty-two million, three hundred three thousand, nine hundred fifty-three".