13755601631567 has 32 divisors (see below), whose sum is σ = 14776868957760. Its totient is φ = 12758890946560.

The previous prime is 13755601631561. The next prime is 13755601631581. The reversal of 13755601631567 is 76513610655731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13755601631567 - 2²⁶ = 13755534522703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755601631561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2006063603 + ... + 2006070459.

It is an arithmetic number, because the mean of its divisors is an integer number (461777154930).

Almost surely, 2^{13755601631567} is an apocalyptic number.

13755601631567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13755601631567 is a deficient number, since it is larger than the sum of its proper divisors (1021267326193).

13755601631567 is a wasteful number, since it uses less digits than its factorization.

13755601631567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11131.

The product of its (nonzero) digits is 11907000, while the sum is 56.

The spelling of 13755601631567 in words is "thirteen trillion, seven hundred fifty-five billion, six hundred one million, six hundred thirty-one thousand, five hundred sixty-seven".