13505225744609 has 2 divisors, whose sum is σ = 13505225744610. Its totient is φ = 13505225744608.

The previous prime is 13505225744603. The next prime is 13505225744641. The reversal of 13505225744609 is 90644752250531.

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., 11609999949025 + 1895225795584 = 3407345^2 + 1376672^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13505225744609 is a prime.

It is a super-2 number, since 2×13505225744609² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13505225744603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6752612872304 + 6752612872305.

It is an arithmetic number, because the mean of its divisors is an integer number (6752612872305).

Almost surely, 2^{13505225744609} is an apocalyptic number.

It is an amenable number.

13505225744609 is a deficient number, since it is larger than the sum of its proper divisors (1).

13505225744609 is an equidigital number, since it uses as much as digits as its factorization.

13505225744609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072000, while the sum is 53.

The spelling of 13505225744609 in words is "thirteen trillion, five hundred five billion, two hundred twenty-five million, seven hundred forty-four thousand, six hundred nine".