1617657471257 has 2 divisors, whose sum is σ = 1617657471258. Its totient is φ = 1617657471256.

The previous prime is 1617657471247. The next prime is 1617657471301. The reversal of 1617657471257 is 7521747567161.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1614434524816 + 3222946441 = 1270604^2 + 56771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1617657471257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1617657471196 and 1617657471205.

It is not a weakly prime, because it can be changed into another prime (1617657471217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 808828735628 + 808828735629.

It is an arithmetic number, because the mean of its divisors is an integer number (808828735629).

Almost surely, 2^{1617657471257} is an apocalyptic number.

It is an amenable number.

1617657471257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1617657471257 is an equidigital number, since it uses as much as digits as its factorization.

1617657471257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17287200, while the sum is 59.

The spelling of 1617657471257 in words is "one trillion, six hundred seventeen billion, six hundred fifty-seven million, four hundred seventy-one thousand, two hundred fifty-seven".