1004656662137 has 2 divisors, whose sum is σ = 1004656662138. Its totient is φ = 1004656662136.

The previous prime is 1004656662089. The next prime is 1004656662179. The reversal of 1004656662137 is 7312666564001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 639313784041 + 365342878096 = 799571^2 + 604436^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004656662137 - 2⁸ = 1004656661881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004656662091 and 1004656662100.

It is not a weakly prime, because it can be changed into another prime (1004656662637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502328331068 + 502328331069.

It is an arithmetic number, because the mean of its divisors is an integer number (502328331069).

Almost surely, 2^{1004656662137} is an apocalyptic number.

It is an amenable number.

1004656662137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004656662137 is an equidigital number, since it uses as much as digits as its factorization.

1004656662137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 1004656662137 in words is "one trillion, four billion, six hundred fifty-six million, six hundred sixty-two thousand, one hundred thirty-seven".