13405355505 has 12 divisors (see below), whose sum is σ = 23235949620. Its totient is φ = 7149522912.

The previous prime is 13405355501. The next prime is 13405355527. The reversal of 13405355505 is 50555350431.

13405355505 is a `hidden beast` number, since 13 + 40 + 53 + 5 + 550 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1965769569 + 11439585936 = 44337^2 + 106956^2 .

It is not a de Polignac number, because 13405355505 - 2² = 13405355501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13405355505.

It is not an unprimeable number, because it can be changed into a prime (13405355501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148948350 + ... + 148948439.

It is an arithmetic number, because the mean of its divisors is an integer number (1936329135).

Almost surely, 2^13405355505 is an apocalyptic number.

13405355505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13405355505 is a deficient number, since it is larger than the sum of its proper divisors (9830594115).

13405355505 is a wasteful number, since it uses less digits than its factorization.

13405355505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297896800 (or 297896797 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 13405355505 in words is "thirteen billion, four hundred five million, three hundred fifty-five thousand, five hundred five".