86008521761 has 2 divisors, whose sum is σ = 86008521762. Its totient is φ = 86008521760.

The previous prime is 86008521721. The next prime is 86008521769. The reversal of 86008521761 is 16712580068.

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., 85406555536 + 601966225 = 292244^2 + 24535^2 .

It is a cyclic number.

It is not a de Polignac number, because 86008521761 - 2¹⁴ = 86008505377 is a prime.

It is a super-2 number, since 2×86008521761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (86008521769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43004260880 + 43004260881.

It is an arithmetic number, because the mean of its divisors is an integer number (43004260881).

Almost surely, 2^86008521761 is an apocalyptic number.

It is an amenable number.

86008521761 is a deficient number, since it is larger than the sum of its proper divisors (1).

86008521761 is an equidigital number, since it uses as much as digits as its factorization.

86008521761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 86008521761 in words is "eighty-six billion, eight million, five hundred twenty-one thousand, seven hundred sixty-one".