1258251257 has 2 divisors, whose sum is σ = 1258251258. Its totient is φ = 1258251256.

The previous prime is 1258251221. The next prime is 1258251259. The reversal of 1258251257 is 7521528521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 974126521 + 284124736 = 31211^2 + 16856^2 .

It is a cyclic number.

It is not a de Polignac number, because 1258251257 - 2¹⁸ = 1257989113 is a prime.

Together with 1258251259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1258251257.

It is not a weakly prime, because it can be changed into another prime (1258251259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 629125628 + 629125629.

It is an arithmetic number, because the mean of its divisors is an integer number (629125629).

Almost surely, 2^1258251257 is an apocalyptic number.

It is an amenable number.

1258251257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1258251257 is an equidigital number, since it uses as much as digits as its factorization.

1258251257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56000, while the sum is 38.

The square root of 1258251257 is about 35471.8375193618. The cubic root of 1258251257 is about 1079.5823879794.

Adding to 1258251257 its reverse (7521528521), we get a palindrome (8779779778).

The spelling of 1258251257 in words is "one billion, two hundred fifty-eight million, two hundred fifty-one thousand, two hundred fifty-seven".