1257328417 has 4 divisors (see below), whose sum is σ = 1257445296. Its totient is φ = 1257211540.

The previous prime is 1257328357. The next prime is 1257328441. The reversal of 1257328417 is 7148237521.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 7148237521 = 29 ⋅246490949.

It is a cyclic number.

It is not a de Polignac number, because 1257328417 - 2¹⁵ = 1257295649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1257328417.

It is not an unprimeable number, because it can be changed into a prime (1257328717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40459 + ... + 64432.

It is an arithmetic number, because the mean of its divisors is an integer number (314361324).

Almost surely, 2^1257328417 is an apocalyptic number.

It is an amenable number.

1257328417 is a deficient number, since it is larger than the sum of its proper divisors (116879).

1257328417 is a wasteful number, since it uses less digits than its factorization.

1257328417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116878.

The product of its digits is 94080, while the sum is 40.

The square root of 1257328417 is about 35458.8270674595. The cubic root of 1257328417 is about 1079.3183905007.

The spelling of 1257328417 in words is "one billion, two hundred fifty-seven million, three hundred twenty-eight thousand, four hundred seventeen".