1005527617561 has 2 divisors, whose sum is σ = 1005527617562. Its totient is φ = 1005527617560.

The previous prime is 1005527617487. The next prime is 1005527617621. The reversal of 1005527617561 is 1657167255001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998880313600 + 6647303961 = 999440^2 + 81531^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005527617561 - 2⁷ = 1005527617433 is a prime.

It is a super-2 number, since 2×1005527617561² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005527617261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502763808780 + 502763808781.

It is an arithmetic number, because the mean of its divisors is an integer number (502763808781).

Almost surely, 2^{1005527617561} is an apocalyptic number.

It is an amenable number.

1005527617561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005527617561 is an equidigital number, since it uses as much as digits as its factorization.

1005527617561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441000, while the sum is 46.

The spelling of 1005527617561 in words is "one trillion, five billion, five hundred twenty-seven million, six hundred seventeen thousand, five hundred sixty-one".