4125721331 has 2 divisors, whose sum is σ = 4125721332. Its totient is φ = 4125721330.

The previous prime is 4125721283. The next prime is 4125721333. The reversal of 4125721331 is 1331275214.

4125721331 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 is a cyclic number.

It is not a de Polignac number, because 4125721331 - 2⁶ = 4125721267 is a prime.

It is a super-2 number, since 2×4125721331² = 34043153002136823122, which contains 22 as substring.

Together with 4125721333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4125721294 and 4125721303.

It is not a weakly prime, because it can be changed into another prime (4125721333) 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, 2062860665 + 2062860666.

It is an arithmetic number, because the mean of its divisors is an integer number (2062860666).

Almost surely, 2^4125721331 is an apocalyptic number.

4125721331 is a deficient number, since it is larger than the sum of its proper divisors (1).

4125721331 is an equidigital number, since it uses as much as digits as its factorization.

4125721331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 4125721331 is about 64231.7782020707. The cubic root of 4125721331 is about 1603.8606421331.

Adding to 4125721331 its reverse (1331275214), we get a palindrome (5456996545).

The spelling of 4125721331 in words is "four billion, one hundred twenty-five million, seven hundred twenty-one thousand, three hundred thirty-one".