1005012641561 has 32 divisors (see below), whose sum is σ = 1098612523008. Its totient is φ = 916584419520.

The previous prime is 1005012641533. The next prime is 1005012641593. The reversal of 1005012641561 is 1651462105001.

It is a cyclic number.

It is not a de Polignac number, because 1005012641561 - 2²² = 1005008447257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005012641531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14432750 + ... + 14502216.

It is an arithmetic number, because the mean of its divisors is an integer number (34331641344).

Almost surely, 2^{1005012641561} is an apocalyptic number.

It is an amenable number.

1005012641561 is a deficient number, since it is larger than the sum of its proper divisors (93599881447).

1005012641561 is a wasteful number, since it uses less digits than its factorization.

1005012641561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69821.

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 1005012641561 its reverse (1651462105001), we get a palindrome (2656474746562).

The spelling of 1005012641561 in words is "one trillion, five billion, twelve million, six hundred forty-one thousand, five hundred sixty-one".