8610627521 has 2 divisors, whose sum is σ = 8610627522. Its totient is φ = 8610627520.

The previous prime is 8610627479. The next prime is 8610627523. The reversal of 8610627521 is 1257260168.

8610627521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4658745025 + 3951882496 = 68255^2 + 62864^2 .

It is a cyclic number.

It is not a de Polignac number, because 8610627521 - 2¹⁴ = 8610611137 is a prime.

Together with 8610627523, 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 (8610627523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4305313760 + 4305313761.

It is an arithmetic number, because the mean of its divisors is an integer number (4305313761).

Almost surely, 2^8610627521 is an apocalyptic number.

It is an amenable number.

8610627521 is a deficient number, since it is larger than the sum of its proper divisors (1).

8610627521 is an equidigital number, since it uses as much as digits as its factorization.

8610627521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 8610627521 is about 92793.4670168110. The cubic root of 8610627521 is about 2049.6432074674.

Adding to 8610627521 its reverse (1257260168), we get a palindrome (9867887689).

The spelling of 8610627521 in words is "eight billion, six hundred ten million, six hundred twenty-seven thousand, five hundred twenty-one".