1157289023257 has 2 divisors, whose sum is σ = 1157289023258. Its totient is φ = 1157289023256.

The previous prime is 1157289023239. The next prime is 1157289023273. The reversal of 1157289023257 is 7523209827511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 976956304921 + 180332718336 = 988411^2 + 424656^2 .

It is a cyclic number.

It is not a de Polignac number, because 1157289023257 - 2³⁹ = 607533209369 is a prime.

It is a super-2 number, since 2×1157289023257² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1157289023227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 578644511628 + 578644511629.

It is an arithmetic number, because the mean of its divisors is an integer number (578644511629).

Almost surely, 2^{1157289023257} is an apocalyptic number.

It is an amenable number.

1157289023257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1157289023257 is an equidigital number, since it uses as much as digits as its factorization.

1157289023257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 52.

The spelling of 1157289023257 in words is "one trillion, one hundred fifty-seven billion, two hundred eighty-nine million, twenty-three thousand, two hundred fifty-seven".