13605442585033 has 16 divisors (see below), whose sum is σ = 14789437197696. Its totient is φ = 12441087440640.

The previous prime is 13605442585001. The next prime is 13605442585153. The reversal of 13605442585033 is 33058524450631.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13605442585033 - 2⁵ = 13605442585001 is a prime.

It is a super-2 number, since 2×13605442585033² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13605442582033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47025985 + ... + 47314417.

It is an arithmetic number, because the mean of its divisors is an integer number (924339824856).

Almost surely, 2^{13605442585033} is an apocalyptic number.

13605442585033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13605442585033 is a deficient number, since it is larger than the sum of its proper divisors (1183994612663).

13605442585033 is a wasteful number, since it uses less digits than its factorization.

13605442585033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322464.

The product of its (nonzero) digits is 5184000, while the sum is 49.

The spelling of 13605442585033 in words is "thirteen trillion, six hundred five billion, four hundred forty-two million, five hundred eighty-five thousand, thirty-three".