1257884893217 has 2 divisors, whose sum is σ = 1257884893218. Its totient is φ = 1257884893216.

The previous prime is 1257884893169. The next prime is 1257884893241. The reversal of 1257884893217 is 7123984887521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1096525216801 + 161359676416 = 1047151^2 + 401696^2 .

It is a cyclic number.

It is not a de Polignac number, because 1257884893217 - 2³⁴ = 1240705024033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1257884893277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628942446608 + 628942446609.

It is an arithmetic number, because the mean of its divisors is an integer number (628942446609).

Almost surely, 2^{1257884893217} is an apocalyptic number.

It is an amenable number.

1257884893217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257884893217 is an equidigital number, since it uses as much as digits as its factorization.

1257884893217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54190080, while the sum is 65.

The spelling of 1257884893217 in words is "one trillion, two hundred fifty-seven billion, eight hundred eighty-four million, eight hundred ninety-three thousand, two hundred seventeen".