1257134742733 has 2 divisors, whose sum is σ = 1257134742734. Its totient is φ = 1257134742732.

The previous prime is 1257134742709. The next prime is 1257134742761. The reversal of 1257134742733 is 3372474317521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 931336943364 + 325797799369 = 965058^2 + 570787^2 .

It is an emirp because it is prime and its reverse (3372474317521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1257134742733 - 2²¹ = 1257132645581 is a prime.

It is a super-2 number, since 2×1257134742733² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1257134742833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628567371366 + 628567371367.

It is an arithmetic number, because the mean of its divisors is an integer number (628567371367).

Almost surely, 2^{1257134742733} is an apocalyptic number.

It is an amenable number.

1257134742733 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257134742733 is an equidigital number, since it uses as much as digits as its factorization.

1257134742733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2963520, while the sum is 49.

The spelling of 1257134742733 in words is "one trillion, two hundred fifty-seven billion, one hundred thirty-four million, seven hundred forty-two thousand, seven hundred thirty-three".