125007257 has 2 divisors, whose sum is σ = 125007258. Its totient is φ = 125007256.

The previous prime is 125007229. The next prime is 125007269. The reversal of 125007257 is 752700521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93915481 + 31091776 = 9691^2 + 5576^2 .

It is an emirp because it is prime and its reverse (752700521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125007257 - 2¹² = 125003161 is a prime.

It is not a weakly prime, because it can be changed into another prime (125007217) 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, 62503628 + 62503629.

It is an arithmetic number, because the mean of its divisors is an integer number (62503629).

Almost surely, 2^125007257 is an apocalyptic number.

It is an amenable number.

125007257 is a deficient number, since it is larger than the sum of its proper divisors (1).

125007257 is an equidigital number, since it uses as much as digits as its factorization.

125007257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 125007257 is about 11180.6644256949. The cubic root of 125007257 is about 500.0096758128.

Adding to 125007257 its reverse (752700521), we get a palindrome (877707778).

The spelling of 125007257 in words is "one hundred twenty-five million, seven thousand, two hundred fifty-seven".