85473410801 has 2 divisors, whose sum is σ = 85473410802. Its totient is φ = 85473410800.

The previous prime is 85473410779. The next prime is 85473410821. The reversal of 85473410801 is 10801437458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77813660401 + 7659750400 = 278951^2 + 87520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85473410801 is a prime.

It is a super-3 number, since 3×85473410801³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (85473410821) 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, 42736705400 + 42736705401.

It is an arithmetic number, because the mean of its divisors is an integer number (42736705401).

Almost surely, 2^85473410801 is an apocalyptic number.

It is an amenable number.

85473410801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85473410801 is an equidigital number, since it uses as much as digits as its factorization.

85473410801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 85473410801 in words is "eighty-five billion, four hundred seventy-three million, four hundred ten thousand, eight hundred one".