1257827297841 has 27 divisors (see below), whose sum is σ = 1824685634187. Its totient is φ = 834955909920.

The previous prime is 1257827297819. The next prime is 1257827297887. The reversal of 1257827297841 is 1487927287521.

The square root of 1257827297841 is 1121529.

It is a perfect power (a square), and thus also a powerful number.

1257827297841 is a `hidden beast` number, since 1 + 257 + 8 + 272 + 9 + 78 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1164411488241 + 93415809600 = 1079079^2 + 305640^2 .

It is not a de Polignac number, because 1257827297841 - 2³⁹ = 708071483953 is a prime.

It is a super-2 number, since 2×1257827297841² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1257827297141) 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 26 ways as a sum of consecutive naturals, for example, 952177461 + ... + 952178781.

Almost surely, 2^{1257827297841} is an apocalyptic number.

1257827297841 is the 1121529-th square number.

1257827297841 is the 560765-th centered octagonal number.

It is an amenable number.

1257827297841 is a deficient number, since it is larger than the sum of its proper divisors (566858336346).

1257827297841 is an frugal number, since it uses more digits than its factorization.

1257827297841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 1607 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 63.

The spelling of 1257827297841 in words is "one trillion, two hundred fifty-seven billion, eight hundred twenty-seven million, two hundred ninety-seven thousand, eight hundred forty-one".