1012001257 has 2 divisors, whose sum is σ = 1012001258. Its totient is φ = 1012001256.

The previous prime is 1012001201. The next prime is 1012001281. The reversal of 1012001257 is 7521002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 606341376 + 405659881 = 24624^2 + 20141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012001257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012001957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506000628 + 506000629.

It is an arithmetic number, because the mean of its divisors is an integer number (506000629).

Almost surely, 2^1012001257 is an apocalyptic number.

It is an amenable number.

1012001257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012001257 is an equidigital number, since it uses as much as digits as its factorization.

1012001257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 1012001257 is about 31811.9671978958. The cubic root of 1012001257 is about 1003.9845215018.

Adding to 1012001257 its reverse (7521002101), we get a palindrome (8533003358).

The spelling of 1012001257 in words is "one billion, twelve million, one thousand, two hundred fifty-seven".