10057129 has 2 divisors, whose sum is σ = 10057130. Its totient is φ = 10057128.

The previous prime is 10057127. The next prime is 10057189. The reversal of 10057129 is 92175001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8111104 + 1946025 = 2848^2 + 1395^2 .

It is an emirp because it is prime and its reverse (92175001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10057129 - 2¹ = 10057127 is a prime.

It is a super-2 number, since 2×10057129² = 202291687445282, which contains 22 as substring.

Together with 10057127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10057123) 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, 5028564 + 5028565.

It is an arithmetic number, because the mean of its divisors is an integer number (5028565).

Almost surely, 2^10057129 is an apocalyptic number.

It is an amenable number.

10057129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057129 is an equidigital number, since it uses as much as digits as its factorization.

10057129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 10057129 is about 3171.2976839143. The cubic root of 10057129 is about 215.8529591962.

The spelling of 10057129 in words is "ten million, fifty-seven thousand, one hundred twenty-nine".