1157616566137 has 2 divisors, whose sum is σ = 1157616566138. Its totient is φ = 1157616566136.

The previous prime is 1157616566111. The next prime is 1157616566143. The reversal of 1157616566137 is 7316656167511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1127039147641 + 30577418496 = 1061621^2 + 174864^2 .

It is a cyclic number.

It is not a de Polignac number, because 1157616566137 - 2¹⁹ = 1157616041849 is a prime.

It is a super-2 number, since 2×1157616566137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1157616566837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 578808283068 + 578808283069.

It is an arithmetic number, because the mean of its divisors is an integer number (578808283069).

Almost surely, 2^{1157616566137} is an apocalyptic number.

It is an amenable number.

1157616566137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1157616566137 is an equidigital number, since it uses as much as digits as its factorization.

1157616566137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4762800, while the sum is 55.

The spelling of 1157616566137 in words is "one trillion, one hundred fifty-seven billion, six hundred sixteen million, five hundred sixty-six thousand, one hundred thirty-seven".