6541541006 has 64 divisors (see below), whose sum is σ = 13423366656. Its totient is φ = 2308176000.

The previous prime is 6541541003. The next prime is 6541541011. The reversal of 6541541006 is 6001451456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541541003) 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, 75281 + ... + 136931.

It is an arithmetic number, because the mean of its divisors is an integer number (209740104).

Almost surely, 2^6541541006 is an apocalyptic number.

6541541006 is an abundant number, since it is smaller than the sum of its proper divisors (6881825650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6541541006 is a wasteful number, since it uses less digits than its factorization.

6541541006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61737.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 6541541006 is about 80879.7935580946. The cubic root of 6541541006 is about 1870.2228380770. Note that the first 3 decimals are identical.

The spelling of 6541541006 in words is "six billion, five hundred forty-one million, five hundred forty-one thousand, six".