706625414526617 has 2 divisors, whose sum is σ = 706625414526618. Its totient is φ = 706625414526616.

The previous prime is 706625414526547. The next prime is 706625414526659. The reversal of 706625414526617 is 716625414526607.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 556503716689561 + 150121697837056 = 23590331^2 + 12252416^2 .

It is a cyclic number.

It is not a de Polignac number, because 706625414526617 - 2⁴⁴ = 689033228482201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 706625414526617.

It is not a weakly prime, because it can be changed into another prime (706625414526917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 353312707263308 + 353312707263309.

It is an arithmetic number, because the mean of its divisors is an integer number (353312707263309).

Almost surely, 2^{706625414526617} is an apocalyptic number.

It is an amenable number.

706625414526617 is a deficient number, since it is larger than the sum of its proper divisors (1).

706625414526617 is an equidigital number, since it uses as much as digits as its factorization.

706625414526617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 101606400, while the sum is 62.

The spelling of 706625414526617 in words is "seven hundred six trillion, six hundred twenty-five billion, four hundred fourteen million, five hundred twenty-six thousand, six hundred seventeen".