501271172105 has 32 divisors (see below), whose sum is σ = 670054906368. Its totient is φ = 356941900800.

The previous prime is 501271172057. The next prime is 501271172153.

501271172105 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (501271172057) and next prime (501271172153).

It is not a de Polignac number, because 501271172105 - 2¹⁰ = 501271171081 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94400 + ... + 1005710.

It is an arithmetic number, because the mean of its divisors is an integer number (20939215824).

Almost surely, 2^501271172105 is an apocalyptic number.

501271172105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

501271172105 is a deficient number, since it is larger than the sum of its proper divisors (168783734263).

501271172105 is a wasteful number, since it uses less digits than its factorization.

501271172105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911537.

The product of its (nonzero) digits is 4900, while the sum is 32.

It can be divided in two parts, 501271 and 172105, that added together give a palindrome (673376).

The spelling of 501271172105 in words is "five hundred one billion, two hundred seventy-one million, one hundred seventy-two thousand, one hundred five".