501141105 has 24 divisors (see below), whose sum is σ = 869886888. Its totient is φ = 266893056.

The previous prime is 501141097. The next prime is 501141107.

It is a happy number.

501141105 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 340181136 + 160959969 = 18444^2 + 12687^2 .

It is not a de Polignac number, because 501141105 - 2³ = 501141097 is a prime.

It is a super-2 number, since 2×501141105² = 502284814241242050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501141107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25389 + ... + 40581.

It is an arithmetic number, because the mean of its divisors is an integer number (36245287).

Almost surely, 2^501141105 is an apocalyptic number.

It is an amenable number.

501141105 is a deficient number, since it is larger than the sum of its proper divisors (368745783).

501141105 is a wasteful number, since it uses less digits than its factorization.

501141105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15937 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 501141105 is about 22386.1811169301. The cubic root of 501141105 is about 794.3038643275.

The spelling of 501141105 in words is "five hundred one million, one hundred forty-one thousand, one hundred five".