706401523752313 has 2 divisors, whose sum is σ = 706401523752314. Its totient is φ = 706401523752312.

The previous prime is 706401523752277. The next prime is 706401523752343. The reversal of 706401523752313 is 313257325104607.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 503590088100969 + 202811435651344 = 22440813^2 + 14241188^2 .

It is a cyclic number.

It is not a de Polignac number, because 706401523752313 - 2³⁷ = 706264084798841 is a prime.

It is a super-2 number, since 2×706401523752313² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (706401523752343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 353200761876156 + 353200761876157.

It is an arithmetic number, because the mean of its divisors is an integer number (353200761876157).

Almost surely, 2^{706401523752313} is an apocalyptic number.

It is an amenable number.

706401523752313 is a deficient number, since it is larger than the sum of its proper divisors (1).

706401523752313 is an equidigital number, since it uses as much as digits as its factorization.

706401523752313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 706401523752313 in words is "seven hundred six trillion, four hundred one billion, five hundred twenty-three million, seven hundred fifty-two thousand, three hundred thirteen".