7417105085801 has 2 divisors, whose sum is σ = 7417105085802. Its totient is φ = 7417105085800.

The previous prime is 7417105085693. The next prime is 7417105085809. The reversal of 7417105085801 is 1085805017147.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5511807980176 + 1905297105625 = 2347724^2 + 1380325^2 .

It is a cyclic number.

It is not a de Polignac number, because 7417105085801 - 2²⁶ = 7417037976937 is a prime.

It is not a weakly prime, because it can be changed into another prime (7417105085809) 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, 3708552542900 + 3708552542901.

It is an arithmetic number, because the mean of its divisors is an integer number (3708552542901).

Almost surely, 2^{7417105085801} is an apocalyptic number.

It is an amenable number.

7417105085801 is a deficient number, since it is larger than the sum of its proper divisors (1).

7417105085801 is an equidigital number, since it uses as much as digits as its factorization.

7417105085801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 313600, while the sum is 47.

The spelling of 7417105085801 in words is "seven trillion, four hundred seventeen billion, one hundred five million, eighty-five thousand, eight hundred one".