87948564526181 has 2 divisors, whose sum is σ = 87948564526182. Its totient is φ = 87948564526180.

The previous prime is 87948564526129. The next prime is 87948564526187. The reversal of 87948564526181 is 18162546584978.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72481129552225 + 15467434973956 = 8513585^2 + 3932866^2 .

It is a cyclic number.

It is not a de Polignac number, because 87948564526181 - 2²⁶ = 87948497417317 is a prime.

It is a super-2 number, since 2×87948564526181² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87948564526099 and 87948564526108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87948564526187) 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, 43974282263090 + 43974282263091.

It is an arithmetic number, because the mean of its divisors is an integer number (43974282263091).

Almost surely, 2^{87948564526181} is an apocalyptic number.

It is an amenable number.

87948564526181 is a deficient number, since it is larger than the sum of its proper divisors (1).

87948564526181 is an equidigital number, since it uses as much as digits as its factorization.

87948564526181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 928972800, while the sum is 74.

The spelling of 87948564526181 in words is "eighty-seven trillion, nine hundred forty-eight billion, five hundred sixty-four million, five hundred twenty-six thousand, one hundred eighty-one".