501413314105 has 32 divisors (see below), whose sum is σ = 659902464000. Its totient is φ = 362717150400.

The previous prime is 501413314049. The next prime is 501413314117.

501413314105 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 501413314105 - 2³³ = 492823379513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51206760 + ... + 51216550.

It is an arithmetic number, because the mean of its divisors is an integer number (20621952000).

Almost surely, 2^501413314105 is an apocalyptic number.

501413314105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

501413314105 is a deficient number, since it is larger than the sum of its proper divisors (158489149895).

501413314105 is a wasteful number, since it uses less digits than its factorization.

501413314105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14685.

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

It can be divided in two parts, 501413 and 314105, that added together give a palindrome (815518).

The spelling of 501413314105 in words is "five hundred one billion, four hundred thirteen million, three hundred fourteen thousand, one hundred five".