1005605060047 has 32 divisors (see below), whose sum is σ = 1161679665152. Its totient is φ = 852690219264.

The previous prime is 1005605060011. The next prime is 1005605060063. The reversal of 1005605060047 is 7400605065001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005605060047 - 2³⁹ = 455849246159 is a prime.

It is a super-2 number, since 2×1005605060047² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005605059994 and 1005605060021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005605060077) 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, 456469648 + ... + 456471850.

It is an arithmetic number, because the mean of its divisors is an integer number (36302489536).

Almost surely, 2^{1005605060047} is an apocalyptic number.

1005605060047 is a deficient number, since it is larger than the sum of its proper divisors (156074605105).

1005605060047 is a wasteful number, since it uses less digits than its factorization.

1005605060047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007.

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 1005605060047 in words is "one trillion, five billion, six hundred five million, sixty thousand, forty-seven".