1004133310561 has 2 divisors, whose sum is σ = 1004133310562. Its totient is φ = 1004133310560.

The previous prime is 1004133310511. The next prime is 1004133310633. The reversal of 1004133310561 is 1650133314001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 661066563600 + 343066746961 = 813060^2 + 585719^2 .

It is an emirp because it is prime and its reverse (1650133314001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1004133310561 - 2¹⁵ = 1004133277793 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004133310511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502066655280 + 502066655281.

It is an arithmetic number, because the mean of its divisors is an integer number (502066655281).

Almost surely, 2^{1004133310561} is an apocalyptic number.

It is an amenable number.

1004133310561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004133310561 is an equidigital number, since it uses as much as digits as its factorization.

1004133310561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 1004133310561 its reverse (1650133314001), we get a palindrome (2654266624562).

The spelling of 1004133310561 in words is "one trillion, four billion, one hundred thirty-three million, three hundred ten thousand, five hundred sixty-one".