87682080000061 has 2 divisors, whose sum is σ = 87682080000062. Its totient is φ = 87682080000060.

The previous prime is 87682079999977. The next prime is 87682080000101. The reversal of 87682080000061 is 16000008028678.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80907668327161 + 6774411672900 = 8994869^2 + 2602770^2 .

It is a cyclic number.

It is not a de Polignac number, because 87682080000061 - 2⁷ = 87682079999933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87682079999966 and 87682080000020.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87682080000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43841040000030 + 43841040000031.

It is an arithmetic number, because the mean of its divisors is an integer number (43841040000031).

Almost surely, 2^{87682080000061} is an apocalyptic number.

It is an amenable number.

87682080000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

87682080000061 is an equidigital number, since it uses as much as digits as its factorization.

87682080000061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 87682080000061 in words is "eighty-seven trillion, six hundred eighty-two billion, eighty million, sixty-one", and thus it is an aban number.