10905269760053 has 2 divisors, whose sum is σ = 10905269760054. Its totient is φ = 10905269760052.

The previous prime is 10905269759999. The next prime is 10905269760067. The reversal of 10905269760053 is 35006796250901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5760801627889 + 5144468132164 = 2400167^2 + 2268142^2 .

It is an emirp because it is prime and its reverse (35006796250901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10905269760053 - 2²⁴ = 10905252982837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10905269759977 and 10905269760004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10905269760353) 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, 5452634880026 + 5452634880027.

It is an arithmetic number, because the mean of its divisors is an integer number (5452634880027).

Almost surely, 2^{10905269760053} is an apocalyptic number.

It is an amenable number.

10905269760053 is a deficient number, since it is larger than the sum of its proper divisors (1).

10905269760053 is an equidigital number, since it uses as much as digits as its factorization.

10905269760053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3061800, while the sum is 53.

The spelling of 10905269760053 in words is "ten trillion, nine hundred five billion, two hundred sixty-nine million, seven hundred sixty thousand, fifty-three".