1257098863113 has 24 divisors (see below), whose sum is σ = 1865193094856. Its totient is φ = 815280940800.

The previous prime is 1257098863109. The next prime is 1257098863151. The reversal of 1257098863113 is 3113688907521.

1257098863113 is a `hidden beast` number, since 1 + 2 + 570 + 9 + 8 + 8 + 63 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137116905849 + 1119981957264 = 370293^2 + 1058292^2 .

It is not a de Polignac number, because 1257098863113 - 2² = 1257098863109 is a prime.

It is a super-3 number, since 3×1257098863113³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 1257098863113.

It is not an unprimeable number, because it can be changed into a prime (1257098863313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1729923 + ... + 2346663.

Almost surely, 2^{1257098863113} is an apocalyptic number.

It is an amenable number.

1257098863113 is a deficient number, since it is larger than the sum of its proper divisors (608094231743).

1257098863113 is a wasteful number, since it uses less digits than its factorization.

1257098863113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622905 (or 622902 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1257098863113 in words is "one trillion, two hundred fifty-seven billion, ninety-eight million, eight hundred sixty-three thousand, one hundred thirteen".