4314561521 has 2 divisors, whose sum is σ = 4314561522. Its totient is φ = 4314561520.

The previous prime is 4314561509. The next prime is 4314561523. The reversal of 4314561521 is 1251654134.

4314561521 is digitally balanced in base 3, 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., 4308084496 + 6477025 = 65636^2 + 2545^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314561521 - 2¹⁸ = 4314299377 is a prime.

It is a super-4 number, since 4×4314561521⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 4314561523, 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 (4314561523) 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, 2157280760 + 2157280761.

It is an arithmetic number, because the mean of its divisors is an integer number (2157280761).

Almost surely, 2^4314561521 is an apocalyptic number.

It is an amenable number.

4314561521 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314561521 is an equidigital number, since it uses as much as digits as its factorization.

4314561521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 32.

The square root of 4314561521 is about 65685.3219600848. The cubic root of 4314561521 is about 1627.9668429972.

The spelling of 4314561521 in words is "four billion, three hundred fourteen million, five hundred sixty-one thousand, five hundred twenty-one".