507242242705 has 16 divisors (see below), whose sum is σ = 667864522944. Its totient is φ = 366771052480.

The previous prime is 507242242699. The next prime is 507242242747.

507242242705 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-507242242705 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26645359 + ... + 26664388.

It is an arithmetic number, because the mean of its divisors is an integer number (41741532684).

Almost surely, 2^507242242705 is an apocalyptic number.

507242242705 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

507242242705 is a deficient number, since it is larger than the sum of its proper divisors (160622280239).

507242242705 is a wasteful number, since it uses less digits than its factorization.

507242242705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53309936.

The product of its (nonzero) digits is 313600, while the sum is 40.

It can be divided in two parts, 507242 and 242705, that added together give a palindrome (749947).

The spelling of 507242242705 in words is "five hundred seven billion, two hundred forty-two million, two hundred forty-two thousand, seven hundred five".