10257041 has 2 divisors, whose sum is σ = 10257042. Its totient is φ = 10257040.

The previous prime is 10257031. The next prime is 10257043. The reversal of 10257041 is 14075201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9985600 + 271441 = 3160^2 + 521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10257041 is a prime.

Together with 10257043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10257043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5128520 + 5128521.

It is an arithmetic number, because the mean of its divisors is an integer number (5128521).

Almost surely, 2^10257041 is an apocalyptic number.

It is an amenable number.

10257041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10257041 is an equidigital number, since it uses as much as digits as its factorization.

10257041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 10257041 is about 3202.6615493992. The cubic root of 10257041 is about 217.2738019186.

The spelling of 10257041 in words is "ten million, two hundred fifty-seven thousand, forty-one".