2005505435541 has 16 divisors (see below), whose sum is σ = 2835399238848. Its totient is φ = 1256535264000.

The previous prime is 2005505435519. The next prime is 2005505435543. The reversal of 2005505435541 is 1455345055002.

It is not a de Polignac number, because 2005505435541 - 2¹⁵ = 2005505402773 is a prime.

It is a super-2 number, since 2×2005505435541² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005505435541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005505435543) 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, 28418910 + ... + 28489391.

It is an arithmetic number, because the mean of its divisors is an integer number (177212452428).

Almost surely, 2^{2005505435541} is an apocalyptic number.

It is an amenable number.

2005505435541 is a deficient number, since it is larger than the sum of its proper divisors (829893803307).

2005505435541 is a wasteful number, since it uses less digits than its factorization.

2005505435541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56909012.

The product of its (nonzero) digits is 300000, while the sum is 39.

The spelling of 2005505435541 in words is "two trillion, five billion, five hundred five million, four hundred thirty-five thousand, five hundred forty-one".