13145023632553 has 2 divisors, whose sum is σ = 13145023632554. Its totient is φ = 13145023632552.

The previous prime is 13145023632527. The next prime is 13145023632647. The reversal of 13145023632553 is 35523632054131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9354868796329 + 3790154836224 = 3058573^2 + 1946832^2 .

It is a cyclic number.

It is not a de Polignac number, because 13145023632553 - 2³⁷ = 13007584679081 is a prime.

It is a super-2 number, since 2×13145023632553² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13145023632523) 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, 6572511816276 + 6572511816277.

It is an arithmetic number, because the mean of its divisors is an integer number (6572511816277).

Almost surely, 2^{13145023632553} is an apocalyptic number.

It is an amenable number.

13145023632553 is a deficient number, since it is larger than the sum of its proper divisors (1).

13145023632553 is an equidigital number, since it uses as much as digits as its factorization.

13145023632553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972000, while the sum is 43.

Adding to 13145023632553 its reverse (35523632054131), we get a palindrome (48668655686684).

The spelling of 13145023632553 in words is "thirteen trillion, one hundred forty-five billion, twenty-three million, six hundred thirty-two thousand, five hundred fifty-three".