10157057017 has 2 divisors, whose sum is σ = 10157057018. Its totient is φ = 10157057016.

The previous prime is 10157057003. The next prime is 10157057039. The reversal of 10157057017 is 71075075101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8885136121 + 1271920896 = 94261^2 + 35664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10157057017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10157057917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5078528508 + 5078528509.

It is an arithmetic number, because the mean of its divisors is an integer number (5078528509).

Almost surely, 2^10157057017 is an apocalyptic number.

It is an amenable number.

10157057017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10157057017 is an equidigital number, since it uses as much as digits as its factorization.

10157057017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8575, while the sum is 34.

The spelling of 10157057017 in words is "ten billion, one hundred fifty-seven million, fifty-seven thousand, seventeen".