501241142105 has 128 divisors (see below), whose sum is σ = 736119705600. Its totient is φ = 323166412800.

The previous prime is 501241142063. The next prime is 501241142111.

It is a happy number.

501241142105 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 501241142105 - 2¹² = 501241138009 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 725384810 + ... + 725385500.

It is an arithmetic number, because the mean of its divisors is an integer number (5750935200).

Almost surely, 2^501241142105 is an apocalyptic number.

501241142105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

501241142105 is a deficient number, since it is larger than the sum of its proper divisors (234878563495).

501241142105 is a wasteful number, since it uses less digits than its factorization.

501241142105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215.

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 501241 and 142105, that added together give a palindrome (643346).

The spelling of 501241142105 in words is "five hundred one billion, two hundred forty-one million, one hundred forty-two thousand, one hundred five".