501242242105 has 64 divisors (see below), whose sum is σ = 686276997120. Its totient is φ = 348100704000.

The previous prime is 501242242079. The next prime is 501242242117.

It is a happy number.

501242242105 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-501242242105 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172662084 + ... + 172664986.

It is an arithmetic number, because the mean of its divisors is an integer number (10723078080).

Almost surely, 2^501242242105 is an apocalyptic number.

501242242105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

501242242105 is a deficient number, since it is larger than the sum of its proper divisors (185034755015).

501242242105 is a wasteful number, since it uses less digits than its factorization.

501242242105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102.

The product of its (nonzero) digits is 6400, while the sum is 28.

It can be divided in two parts, 501242 and 242105, that added together give a palindrome (743347).

The spelling of 501242242105 in words is "five hundred one billion, two hundred forty-two million, two hundred forty-two thousand, one hundred five".