705248842481 has 2 divisors, whose sum is σ = 705248842482. Its totient is φ = 705248842480.

The previous prime is 705248842471. The next prime is 705248842483. The reversal of 705248842481 is 184248842507.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 551180032225 + 154068810256 = 742415^2 + 392516^2 .

It is an emirp because it is prime and its reverse (184248842507) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 705248842481 - 2¹⁰ = 705248841457 is a prime.

It is a super-2 number, since 2×705248842481² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 705248842483, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (705248842483) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352624421240 + 352624421241.

It is an arithmetic number, because the mean of its divisors is an integer number (352624421241).

Almost surely, 2^705248842481 is an apocalyptic number.

It is an amenable number.

705248842481 is a deficient number, since it is larger than the sum of its proper divisors (1).

705248842481 is an equidigital number, since it uses as much as digits as its factorization.

705248842481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4587520, while the sum is 53.

The spelling of 705248842481 in words is "seven hundred five billion, two hundred forty-eight million, eight hundred forty-two thousand, four hundred eighty-one".