12610617167657 has 2 divisors, whose sum is σ = 12610617167658. Its totient is φ = 12610617167656.

The previous prime is 12610617167653. The next prime is 12610617167831. The reversal of 12610617167657 is 75676171601621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11024186232361 + 1586430935296 = 3320269^2 + 1259536^2 .

It is a cyclic number.

It is not a de Polignac number, because 12610617167657 - 2² = 12610617167653 is a prime.

It is not a weakly prime, because it can be changed into another prime (12610617167653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6305308583828 + 6305308583829.

It is an arithmetic number, because the mean of its divisors is an integer number (6305308583829).

Almost surely, 2^{12610617167657} is an apocalyptic number.

It is an amenable number.

12610617167657 is a deficient number, since it is larger than the sum of its proper divisors (1).

12610617167657 is an equidigital number, since it uses as much as digits as its factorization.

12610617167657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4445280, while the sum is 56.

The spelling of 12610617167657 in words is "twelve trillion, six hundred ten billion, six hundred seventeen million, one hundred sixty-seven thousand, six hundred fifty-seven".