1014125257 has 2 divisors, whose sum is σ = 1014125258. Its totient is φ = 1014125256.

The previous prime is 1014125239. The next prime is 1014125261. The reversal of 1014125257 is 7525214101.

1014125257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 738698041 + 275427216 = 27179^2 + 16596^2 .

It is a cyclic number.

It is not a de Polignac number, because 1014125257 - 2¹⁵ = 1014092489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1014125207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507062628 + 507062629.

It is an arithmetic number, because the mean of its divisors is an integer number (507062629).

Almost surely, 2^1014125257 is an apocalyptic number.

It is an amenable number.

1014125257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1014125257 is an equidigital number, since it uses as much as digits as its factorization.

1014125257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 1014125257 is about 31845.3333629906. Note that the first 4 decimals coincide. The cubic root of 1014125257 is about 1004.6864221389.

Adding to 1014125257 its reverse (7525214101), we get a palindrome (8539339358).

The spelling of 1014125257 in words is "one billion, fourteen million, one hundred twenty-five thousand, two hundred fifty-seven".