10414263137 has 2 divisors, whose sum is σ = 10414263138. Its totient is φ = 10414263136.

The previous prime is 10414263113. The next prime is 10414263161. The reversal of 10414263137 is 73136241401.

10414263137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10414263113) and next prime (10414263161).

It can be written as a sum of positive squares in only one way, i.e., 8603675536 + 1810587601 = 92756^2 + 42551^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414263137 - 2¹⁶ = 10414197601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10414263437) 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, 5207131568 + 5207131569.

It is an arithmetic number, because the mean of its divisors is an integer number (5207131569).

Almost surely, 2^10414263137 is an apocalyptic number.

It is an amenable number.

10414263137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414263137 is an equidigital number, since it uses as much as digits as its factorization.

10414263137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 10414263137 in words is "ten billion, four hundred fourteen million, two hundred sixty-three thousand, one hundred thirty-seven".