1001042257 has 2 divisors, whose sum is σ = 1001042258. Its totient is φ = 1001042256.

The previous prime is 1001042221. The next prime is 1001042281. The reversal of 1001042257 is 7522401001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 961992256 + 39050001 = 31016^2 + 6249^2 .

It is an emirp because it is prime and its reverse (7522401001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001042257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001042957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500521128 + 500521129.

It is an arithmetic number, because the mean of its divisors is an integer number (500521129).

Almost surely, 2^1001042257 is an apocalyptic number.

It is an amenable number.

1001042257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001042257 is an equidigital number, since it uses as much as digits as its factorization.

1001042257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 1001042257 is about 31639.2518400799. The cubic root of 1001042257 is about 1000.3472983699.

Adding to 1001042257 its reverse (7522401001), we get a palindrome (8523443258).

The spelling of 1001042257 in words is "one billion, one million, forty-two thousand, two hundred fifty-seven".