10138577 has 2 divisors, whose sum is σ = 10138578. Its totient is φ = 10138576.

The previous prime is 10138573. The next prime is 10138621. The reversal of 10138577 is 77583101.

10138577 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., 8904256 + 1234321 = 2984^2 + 1111^2 .

It is an emirp because it is prime and its reverse (77583101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10138577 - 2² = 10138573 is a prime.

It is not a weakly prime, because it can be changed into another prime (10138573) 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, 5069288 + 5069289.

It is an arithmetic number, because the mean of its divisors is an integer number (5069289).

Almost surely, 2^10138577 is an apocalyptic number.

It is an amenable number.

10138577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10138577 is an equidigital number, since it uses as much as digits as its factorization.

10138577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 10138577 is about 3184.1132203488. The cubic root of 10138577 is about 216.4340907384.

The spelling of 10138577 in words is "ten million, one hundred thirty-eight thousand, five hundred seventy-seven".