6407125401617 has 2 divisors, whose sum is σ = 6407125401618. Its totient is φ = 6407125401616.

The previous prime is 6407125401587. The next prime is 6407125401659. The reversal of 6407125401617 is 7161045217046.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3858380204176 + 2548745197441 = 1964276^2 + 1596479^2 .

It is a cyclic number.

It is not a de Polignac number, because 6407125401617 - 2⁶ = 6407125401553 is a prime.

It is not a weakly prime, because it can be changed into another prime (6407125401667) 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, 3203562700808 + 3203562700809.

It is an arithmetic number, because the mean of its divisors is an integer number (3203562700809).

Almost surely, 2^{6407125401617} is an apocalyptic number.

It is an amenable number.

6407125401617 is a deficient number, since it is larger than the sum of its proper divisors (1).

6407125401617 is an equidigital number, since it uses as much as digits as its factorization.

6407125401617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 6407125401617 in words is "six trillion, four hundred seven billion, one hundred twenty-five million, four hundred one thousand, six hundred seventeen".