8587000013 has 2 divisors, whose sum is σ = 8587000014. Its totient is φ = 8587000012.

The previous prime is 8586999947. The next prime is 8587000069. The reversal of 8587000013 is 3100007858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6322953289 + 2264046724 = 79517^2 + 47582^2 .

It is a cyclic number.

It is not a de Polignac number, because 8587000013 - 2²² = 8582805709 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8587000313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4293500006 + 4293500007.

It is an arithmetic number, because the mean of its divisors is an integer number (4293500007).

Almost surely, 2^8587000013 is an apocalyptic number.

It is an amenable number.

8587000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8587000013 is an equidigital number, since it uses as much as digits as its factorization.

8587000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 8587000013 is about 92666.0672144880. The cubic root of 8587000013 is about 2047.7667540516.

The spelling of 8587000013 in words is "eight billion, five hundred eighty-seven million, thirteen", and thus it is an aban number.