8621717345257 has 2 divisors, whose sum is σ = 8621717345258. Its totient is φ = 8621717345256.

The previous prime is 8621717345231. The next prime is 8621717345291. The reversal of 8621717345257 is 7525437171268.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6495265113561 + 2126452231696 = 2548581^2 + 1458236^2 .

It is a cyclic number.

It is not a de Polignac number, because 8621717345257 - 2¹⁵ = 8621717312489 is a prime.

It is not a weakly prime, because it can be changed into another prime (8621717345207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4310858672628 + 4310858672629.

It is an arithmetic number, because the mean of its divisors is an integer number (4310858672629).

Almost surely, 2^{8621717345257} is an apocalyptic number.

It is an amenable number.

8621717345257 is a deficient number, since it is larger than the sum of its proper divisors (1).

8621717345257 is an equidigital number, since it uses as much as digits as its factorization.

8621717345257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19756800, while the sum is 58.

The spelling of 8621717345257 in words is "eight trillion, six hundred twenty-one billion, seven hundred seventeen million, three hundred forty-five thousand, two hundred fifty-seven".