10646010257 has 2 divisors, whose sum is σ = 10646010258. Its totient is φ = 10646010256.

The previous prime is 10646010247. The next prime is 10646010293. The reversal of 10646010257 is 75201064601.

10646010257 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., 10135656976 + 510353281 = 100676^2 + 22591^2 .

It is a cyclic number.

It is not a de Polignac number, because 10646010257 - 2¹⁶ = 10645944721 is a prime.

It is a super-3 number, since 3×10646010257³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10646010247) 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, 5323005128 + 5323005129.

It is an arithmetic number, because the mean of its divisors is an integer number (5323005129).

Almost surely, 2^10646010257 is an apocalyptic number.

It is an amenable number.

10646010257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10646010257 is an equidigital number, since it uses as much as digits as its factorization.

10646010257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 10646010257 its reverse (75201064601), we get a palindrome (85847074858).

The spelling of 10646010257 in words is "ten billion, six hundred forty-six million, ten thousand, two hundred fifty-seven".