706205380057 has 2 divisors, whose sum is σ = 706205380058. Its totient is φ = 706205380056.

The previous prime is 706205380051. The next prime is 706205380063. The reversal of 706205380057 is 750083502607.

It is a balanced prime because it is at equal distance from previous prime (706205380051) and next prime (706205380063).

It can be written as a sum of positive squares in only one way, i.e., 662114199616 + 44091180441 = 813704^2 + 209979^2 .

It is a cyclic number.

It is not a de Polignac number, because 706205380057 - 2¹¹ = 706205378009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 706205379995 and 706205380022.

It is not a weakly prime, because it can be changed into another prime (706205380051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 353102690028 + 353102690029.

It is an arithmetic number, because the mean of its divisors is an integer number (353102690029).

Almost surely, 2^706205380057 is an apocalyptic number.

It is an amenable number.

706205380057 is a deficient number, since it is larger than the sum of its proper divisors (1).

706205380057 is an equidigital number, since it uses as much as digits as its factorization.

706205380057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 706205380057 in words is "seven hundred six billion, two hundred five million, three hundred eighty thousand, fifty-seven".