10091612257 has 2 divisors, whose sum is σ = 10091612258. Its totient is φ = 10091612256.

The previous prime is 10091612243. The next prime is 10091612309. The reversal of 10091612257 is 75221619001.

10091612257 is digitally balanced in base 3, 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., 10016807056 + 74805201 = 100084^2 + 8649^2 .

It is a cyclic number.

It is not a de Polignac number, because 10091612257 - 2⁷ = 10091612129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10091612057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045806128 + 5045806129.

It is an arithmetic number, because the mean of its divisors is an integer number (5045806129).

Almost surely, 2^10091612257 is an apocalyptic number.

It is an amenable number.

10091612257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091612257 is an equidigital number, since it uses as much as digits as its factorization.

10091612257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 10091612257 in words is "ten billion, ninety-one million, six hundred twelve thousand, two hundred fifty-seven".