705517682401 has 9 divisors (see below), whose sum is σ = 820711082451. Its totient is φ = 604724402352.

The previous prime is 705517682377. The next prime is 705517682407. The reversal of 705517682401 is 104286715507.

The square root of 705517682401 is 839951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54875405025 + 650642277376 = 234255^2 + 806624^2 .

It is not a de Polignac number, because 705517682401 - 2¹⁷ = 705517551329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (705517682407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5819661 + ... + 5939653.

Almost surely, 2^705517682401 is an apocalyptic number.

705517682401 is the 839951-st square number.

705517682401 is the 419976-th centered octagonal number.

It is an amenable number.

705517682401 is a deficient number, since it is larger than the sum of its proper divisors (115193400050).

705517682401 is an frugal number, since it uses more digits than its factorization.

705517682401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240000 (or 120000 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 705517682401 in words is "seven hundred five billion, five hundred seventeen million, six hundred eighty-two thousand, four hundred one".