12580008521 has 2 divisors, whose sum is σ = 12580008522. Its totient is φ = 12580008520.

The previous prime is 12580008499. The next prime is 12580008523.

It is a happy number.

12580008521 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7180698121 + 5399310400 = 84739^2 + 73480^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 12580008521 - 2¹⁴ = 12579992137 is a prime.

It is a super-2 number, since 2×12580008521² (a number of 21 digits) contains 22 as substring.

Together with 12580008523, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12580008523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6290004260 + 6290004261.

It is an arithmetic number, because the mean of its divisors is an integer number (6290004261).

Almost surely, 2^12580008521 is an apocalyptic number.

It is an amenable number.

12580008521 is a deficient number, since it is larger than the sum of its proper divisors (1).

12580008521 is an equidigital number, since it uses as much as digits as its factorization.

12580008521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6400, while the sum is 32.

The spelling of 12580008521 in words is "twelve billion, five hundred eighty million, eight thousand, five hundred twenty-one".