86541000509 has 2 divisors, whose sum is σ = 86541000510. Its totient is φ = 86541000508.

The previous prime is 86541000467. The next prime is 86541000523. The reversal of 86541000509 is 90500014568.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86448936484 + 92064025 = 294022^2 + 9595^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86541000509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (86541000599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43270500254 + 43270500255.

It is an arithmetic number, because the mean of its divisors is an integer number (43270500255).

Almost surely, 2^86541000509 is an apocalyptic number.

It is an amenable number.

86541000509 is a deficient number, since it is larger than the sum of its proper divisors (1).

86541000509 is an equidigital number, since it uses as much as digits as its factorization.

86541000509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 86541000509 in words is "eighty-six billion, five hundred forty-one million, five hundred nine", and thus it is an aban number.