705104203752101 has 2 divisors, whose sum is σ = 705104203752102. Its totient is φ = 705104203752100.

The previous prime is 705104203752089. The next prime is 705104203752203. The reversal of 705104203752101 is 101257302401507.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 432587003223076 + 272517200529025 = 20798726^2 + 16508095^2 .

It is a cyclic number.

It is not a de Polignac number, because 705104203752101 - 2¹⁴ = 705104203735717 is a prime.

It is a super-4 number, since 4×705104203752101⁴ (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (705104203752001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352552101876050 + 352552101876051.

It is an arithmetic number, because the mean of its divisors is an integer number (352552101876051).

Almost surely, 2^{705104203752101} is an apocalyptic number.

It is an amenable number.

705104203752101 is a deficient number, since it is larger than the sum of its proper divisors (1).

705104203752101 is an equidigital number, since it uses as much as digits as its factorization.

705104203752101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 705104203752101 in words is "seven hundred five trillion, one hundred four billion, two hundred three million, seven hundred fifty-two thousand, one hundred one".