705047388241 has 9 divisors (see below), whose sum is σ = 820164003291. Its totient is φ = 604321294752.

The previous prime is 705047388239. The next prime is 705047388251. The reversal of 705047388241 is 142883740507.

The square root of 705047388241 is 839671.

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., 651918982225 + 53128406016 = 807415^2 + 230496^2 .

It is not a de Polignac number, because 705047388241 - 2¹ = 705047388239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (705047388251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5817721 + ... + 5937673.

It is an arithmetic number, because the mean of its divisors is an integer number (91129333699).

Almost surely, 2^705047388241 is an apocalyptic number.

705047388241 is the 839671-st square number.

705047388241 is the 419836-th centered octagonal number.

It is an amenable number.

705047388241 is a deficient number, since it is larger than the sum of its proper divisors (115116615050).

705047388241 is an frugal number, since it uses more digits than its factorization.

705047388241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239920 (or 119960 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

Multiplying 705047388241 by its sum of digits (49), we get a square (34547322023809 = 5877697²).

705047388241 divided by its sum of digits (49) gives a square (14388722209 = 119953²).

The spelling of 705047388241 in words is "seven hundred five billion, forty-seven million, three hundred eighty-eight thousand, two hundred forty-one".