1082535564137 has 2 divisors, whose sum is σ = 1082535564138. Its totient is φ = 1082535564136.

The previous prime is 1082535564067. The next prime is 1082535564151. The reversal of 1082535564137 is 7314655352801.

1082535564137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 962794650841 + 119740913296 = 981221^2 + 346036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1082535564137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1082538564137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 541267782068 + 541267782069.

It is an arithmetic number, because the mean of its divisors is an integer number (541267782069).

Almost surely, 2^{1082535564137} is an apocalyptic number.

It is an amenable number.

1082535564137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1082535564137 is an equidigital number, since it uses as much as digits as its factorization.

1082535564137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 1082535564137 in words is "one trillion, eighty-two billion, five hundred thirty-five million, five hundred sixty-four thousand, one hundred thirty-seven".