10025344337 has 2 divisors, whose sum is σ = 10025344338. Its totient is φ = 10025344336.

The previous prime is 10025344333. The next prime is 10025344339. The reversal of 10025344337 is 73344352001.

10025344337 is digitally balanced in base 2 and base 3, because in such bases 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., 6254279056 + 3771065281 = 79084^2 + 61409^2 .

It is a cyclic number.

It is not a de Polignac number, because 10025344337 - 2² = 10025344333 is a prime.

Together with 10025344339, 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 (10025344331) 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, 5012672168 + 5012672169.

It is an arithmetic number, because the mean of its divisors is an integer number (5012672169).

Almost surely, 2^10025344337 is an apocalyptic number.

It is an amenable number.

10025344337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10025344337 is an equidigital number, since it uses as much as digits as its factorization.

10025344337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 32.

Adding to 10025344337 its reverse (73344352001), we get a palindrome (83369696338).

The spelling of 10025344337 in words is "ten billion, twenty-five million, three hundred forty-four thousand, three hundred thirty-seven".