1064331617137 has 2 divisors, whose sum is σ = 1064331617138. Its totient is φ = 1064331617136.

The previous prime is 1064331617131. The next prime is 1064331617207. The reversal of 1064331617137 is 7317161334601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 847414143601 + 216917473536 = 920551^2 + 465744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1064331617137 is a prime.

It is a super-2 number, since 2×1064331617137² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064331617093 and 1064331617102.

It is not a weakly prime, because it can be changed into another prime (1064331617131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 532165808568 + 532165808569.

It is an arithmetic number, because the mean of its divisors is an integer number (532165808569).

Almost surely, 2^{1064331617137} is an apocalyptic number.

It is an amenable number.

1064331617137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1064331617137 is an equidigital number, since it uses as much as digits as its factorization.

1064331617137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 190512, while the sum is 43.

The spelling of 1064331617137 in words is "one trillion, sixty-four billion, three hundred thirty-one million, six hundred seventeen thousand, one hundred thirty-seven".