633521145506106 has 32 divisors (see below), whose sum is σ = 1488553181051328. Its totient is φ = 177208712029440.

The previous prime is 633521145506083. The next prime is 633521145506111. The reversal of 633521145506106 is 601605541125336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369184815871 + ... + 369184817586.

It is an arithmetic number, because the mean of its divisors is an integer number (46517286907854).

Almost surely, 2^{633521145506106} is an apocalyptic number.

633521145506106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

633521145506106 is an abundant number, since it is smaller than the sum of its proper divisors (855032035545222).

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

633521145506106 is a wasteful number, since it uses less digits than its factorization.

633521145506106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738369633486.

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 633521145506106 in words is "six hundred thirty-three trillion, five hundred twenty-one billion, one hundred forty-five million, five hundred six thousand, one hundred six".