1257520441 has 2 divisors, whose sum is σ = 1257520442. Its totient is φ = 1257520440.

The previous prime is 1257520403. The next prime is 1257520463. The reversal of 1257520441 is 1440257521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1062499216 + 195021225 = 32596^2 + 13965^2 .

It is an emirp because it is prime and its reverse (1440257521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1257520441 - 2¹¹ = 1257518393 is a prime.

It is not a weakly prime, because it can be changed into another prime (1257523441) 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, 628760220 + 628760221.

It is an arithmetic number, because the mean of its divisors is an integer number (628760221).

Almost surely, 2^1257520441 is an apocalyptic number.

It is an amenable number.

1257520441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257520441 is an equidigital number, since it uses as much as digits as its factorization.

1257520441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 1257520441 is about 35461.5346678623. The cubic root of 1257520441 is about 1079.3733335800.

Adding to 1257520441 its reverse (1440257521), we get a palindrome (2697777962).

The spelling of 1257520441 in words is "one billion, two hundred fifty-seven million, five hundred twenty thousand, four hundred forty-one".