1257297601257 has 24 divisors (see below), whose sum is σ = 1858396901504. Its totient is φ = 818676530784.

The previous prime is 1257297601243. The next prime is 1257297601319. The reversal of 1257297601257 is 7521067927521.

1257297601257 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 2 + 9 + 7 + 601 + 25 + 7 = 666.

It is not a de Polignac number, because 1257297601257 - 2⁷ = 1257297601129 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1257297601457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19838103 + ... + 19901379.

Almost surely, 2^{1257297601257} is an apocalyptic number.

It is an amenable number.

1257297601257 is a deficient number, since it is larger than the sum of its proper divisors (601099300247).

1257297601257 is a wasteful number, since it uses less digits than its factorization.

1257297601257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114669 (or 114666 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 1257297601257 in words is "one trillion, two hundred fifty-seven billion, two hundred ninety-seven million, six hundred one thousand, two hundred fifty-seven".