1257134741733 has 64 divisors (see below), whose sum is σ = 1927961118720. Its totient is φ = 722178374400.

The previous prime is 1257134741719. The next prime is 1257134741747. The reversal of 1257134741733 is 3371474317521.

It is an interprime number because it is at equal distance from previous prime (1257134741719) and next prime (1257134741747).

It is not a de Polignac number, because 1257134741733 - 2¹⁷ = 1257134610661 is a prime.

It is a super-2 number, since 2×1257134741733² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257134741713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112108435 + ... + 112119647.

It is an arithmetic number, because the mean of its divisors is an integer number (30124392480).

Almost surely, 2^{1257134741733} is an apocalyptic number.

1257134741733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1257134741733 is a deficient number, since it is larger than the sum of its proper divisors (670826376987).

1257134741733 is a wasteful number, since it uses less digits than its factorization.

1257134741733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13450.

The product of its digits is 1481760, while the sum is 48.

The spelling of 1257134741733 in words is "one trillion, two hundred fifty-seven billion, one hundred thirty-four million, seven hundred forty-one thousand, seven hundred thirty-three".