13775257305 has 20 divisors (see below), whose sum is σ = 24693424932. Its totient is φ = 7346803680.

The previous prime is 13775257289. The next prime is 13775257333. The reversal of 13775257305 is 50375257731.

13775257305 is a `hidden beast` number, since 1 + 3 + 7 + 75 + 2 + 573 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8766015129 + 5009242176 = 93627^2 + 70776^2 .

It is not a de Polignac number, because 13775257305 - 2⁴ = 13775257289 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 in 19 ways as a sum of consecutive naturals, for example, 17006086 + ... + 17006895.

Almost surely, 2^13775257305 is an apocalyptic number.

13775257305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13775257305 is a deficient number, since it is larger than the sum of its proper divisors (10918167627).

13775257305 is an equidigital number, since it uses as much as digits as its factorization.

13775257305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34012998 (or 34012989 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The spelling of 13775257305 in words is "thirteen billion, seven hundred seventy-five million, two hundred fifty-seven thousand, three hundred five".