501313313105 has 32 divisors (see below), whose sum is σ = 664342293888. Its totient is φ = 360106214400.

The previous prime is 501313313099. The next prime is 501313313129.

501313313105 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 501313313105 - 2²² = 501309118801 is a prime.

It is a Duffinian number.

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, 21247415 + ... + 21270995.

It is an arithmetic number, because the mean of its divisors is an integer number (20760696684).

Almost surely, 2^501313313105 is an apocalyptic number.

501313313105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

501313313105 is a deficient number, since it is larger than the sum of its proper divisors (163028980783).

501313313105 is a wasteful number, since it uses less digits than its factorization.

501313313105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28337.

The product of its (nonzero) digits is 2025, while the sum is 26.

It can be divided in two parts, 501313 and 313105, that added together give a palindrome (814418).

The spelling of 501313313105 in words is "five hundred one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred five".