705242242507 has 8 divisors (see below), whose sum is σ = 771332955120. Its totient is φ = 639481160160.

The previous prime is 705242242451. The next prime is 705242242511.

705242242507 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 705242242507 - 2²⁷ = 705108024779 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 705242242507.

It is not an unprimeable number, because it can be changed into a prime (705242242517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82403088 + ... + 82411645.

It is an arithmetic number, because the mean of its divisors is an integer number (96416619390).

Almost surely, 2^705242242507 is an apocalyptic number.

705242242507 is a deficient number, since it is larger than the sum of its proper divisors (66090712613).

705242242507 is a wasteful number, since it uses less digits than its factorization.

705242242507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164815133.

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

It can be divided in two parts, 705242 and 242507, that added together give a palindrome (947749).

The spelling of 705242242507 in words is "seven hundred five billion, two hundred forty-two million, two hundred forty-two thousand, five hundred seven".