13505320177 has 2 divisors, whose sum is σ = 13505320178. Its totient is φ = 13505320176.

The previous prime is 13505320117. The next prime is 13505320189. The reversal of 13505320177 is 77102350531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13056261696 + 449058481 = 114264^2 + 21191^2 .

It is a cyclic number.

It is not a de Polignac number, because 13505320177 - 2¹⁵ = 13505287409 is a prime.

It is a super-2 number, since 2×13505320177² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13505320117) 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, 6752660088 + 6752660089.

It is an arithmetic number, because the mean of its divisors is an integer number (6752660089).

Almost surely, 2^13505320177 is an apocalyptic number.

It is an amenable number.

13505320177 is a deficient number, since it is larger than the sum of its proper divisors (1).

13505320177 is an equidigital number, since it uses as much as digits as its factorization.

13505320177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 34.

The spelling of 13505320177 in words is "thirteen billion, five hundred five million, three hundred twenty thousand, one hundred seventy-seven".