1001105257 has 2 divisors, whose sum is σ = 1001105258. Its totient is φ = 1001105256.

The previous prime is 1001105249. The next prime is 1001105267. The reversal of 1001105257 is 7525011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 617572201 + 383533056 = 24851^2 + 19584^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001105257 - 2³ = 1001105249 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001105267) 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, 500552628 + 500552629.

It is an arithmetic number, because the mean of its divisors is an integer number (500552629).

Almost surely, 2^1001105257 is an apocalyptic number.

It is an amenable number.

1001105257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001105257 is an equidigital number, since it uses as much as digits as its factorization.

1001105257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 1001105257 is about 31640.2474231792. The cubic root of 1001105257 is about 1000.3682833507.

Adding to 1001105257 its reverse (7525011001), we get a palindrome (8526116258).

The spelling of 1001105257 in words is "one billion, one million, one hundred five thousand, two hundred fifty-seven".