501431134105 has 16 divisors (see below), whose sum is σ = 695031819264. Its totient is φ = 343225588480.

The previous prime is 501431134091. The next prime is 501431134129.

501431134105 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 501431134105 - 2⁷ = 501431133977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268144057 + ... + 268145926.

It is an arithmetic number, because the mean of its divisors is an integer number (43439488704).

Almost surely, 2^501431134105 is an apocalyptic number.

501431134105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

501431134105 is a deficient number, since it is larger than the sum of its proper divisors (193600685159).

501431134105 is a wasteful number, since it uses less digits than its factorization.

501431134105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536290016.

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 501431 and 134105, that added together give a palindrome (635536).

The spelling of 501431134105 in words is "five hundred one billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred five".