87705417484193 has 2 divisors, whose sum is σ = 87705417484194. Its totient is φ = 87705417484192.

The previous prime is 87705417484183. The next prime is 87705417484199. The reversal of 87705417484193 is 39148471450778.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84786950928289 + 2918466555904 = 9207983^2 + 1708352^2 .

It is a cyclic number.

It is not a de Polignac number, because 87705417484193 - 2¹⁰ = 87705417483169 is a prime.

It is a super-2 number, since 2×87705417484193² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (87705417484199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43852708742096 + 43852708742097.

It is an arithmetic number, because the mean of its divisors is an integer number (43852708742097).

Almost surely, 2^{87705417484193} is an apocalyptic number.

It is an amenable number.

87705417484193 is a deficient number, since it is larger than the sum of its proper divisors (1).

87705417484193 is an equidigital number, since it uses as much as digits as its factorization.

87705417484193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189665280, while the sum is 68.

The spelling of 87705417484193 in words is "eighty-seven trillion, seven hundred five billion, four hundred seventeen million, four hundred eighty-four thousand, one hundred ninety-three".