129853420195657 has 2 divisors, whose sum is σ = 129853420195658. Its totient is φ = 129853420195656.

The previous prime is 129853420195651. The next prime is 129853420195729. The reversal of 129853420195657 is 756591024358921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111106693792656 + 18746726403001 = 10540716^2 + 4329749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-129853420195657 is a prime.

It is a super-2 number, since 2×129853420195657² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129853420195592 and 129853420195601.

It is not a weakly prime, because it can be changed into another prime (129853420195651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64926710097828 + 64926710097829.

It is an arithmetic number, because the mean of its divisors is an integer number (64926710097829).

It is a 2-persistent number, because it is pandigital, and so is 2⋅129853420195657 = 259706840391314, but 3⋅129853420195657 = 389560260586971 is not.

Almost surely, 2^{129853420195657} is an apocalyptic number.

It is an amenable number.

129853420195657 is a deficient number, since it is larger than the sum of its proper divisors (1).

129853420195657 is an equidigital number, since it uses as much as digits as its factorization.

129853420195657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296000, while the sum is 67.

The spelling of 129853420195657 in words is "one hundred twenty-nine trillion, eight hundred fifty-three billion, four hundred twenty million, one hundred ninety-five thousand, six hundred fifty-seven".