10125354361 has 2 divisors, whose sum is σ = 10125354362. Its totient is φ = 10125354360.

The previous prime is 10125354359. The next prime is 10125354389. The reversal of 10125354361 is 16345352101.

10125354361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9789915136 + 335439225 = 98944^2 + 18315^2 .

It is a cyclic number.

It is not a de Polignac number, because 10125354361 - 2¹ = 10125354359 is a prime.

Together with 10125354359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10125354341) 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, 5062677180 + 5062677181.

It is an arithmetic number, because the mean of its divisors is an integer number (5062677181).

Almost surely, 2^10125354361 is an apocalyptic number.

It is an amenable number.

10125354361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10125354361 is an equidigital number, since it uses as much as digits as its factorization.

10125354361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 10125354361 in words is "ten billion, one hundred twenty-five million, three hundred fifty-four thousand, three hundred sixty-one".