2008505541 has 12 divisors (see below), whose sum is σ = 3115233312. Its totient is φ = 1147717368.

The previous prime is 2008505503. The next prime is 2008505563. The reversal of 2008505541 is 1455058002.

It is not a de Polignac number, because 2008505541 - 2¹⁰ = 2008504517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2008505499 and 2008505508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008505501) 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, 6831505 + ... + 6831798.

It is an arithmetic number, because the mean of its divisors is an integer number (259602776).

Almost surely, 2^2008505541 is an apocalyptic number.

2008505541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2008505541 is a deficient number, since it is larger than the sum of its proper divisors (1106727771).

2008505541 is a wasteful number, since it uses less digits than its factorization.

2008505541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13663320 (or 13663313 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 2008505541 is about 44816.3534995876. The cubic root of 2008505541 is about 1261.7045756617.

The spelling of 2008505541 in words is "two billion, eight million, five hundred five thousand, five hundred forty-one".