1005665104971 has 24 divisors (see below), whose sum is σ = 1483595203584. Its totient is φ = 656151729840.

The previous prime is 1005665104957. The next prime is 1005665104999. The reversal of 1005665104971 is 1794015665001.

1005665104971 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 66 + 510 + 4 + 9 + 71 = 666.

It is not a de Polignac number, because 1005665104971 - 2²¹ = 1005663007819 is a prime.

It is a super-2 number, since 2×1005665104971² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005665104271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20190720 + ... + 20240466.

It is an arithmetic number, because the mean of its divisors is an integer number (61816466816).

Almost surely, 2^{1005665104971} is an apocalyptic number.

1005665104971 is a deficient number, since it is larger than the sum of its proper divisors (477930098613).

1005665104971 is a wasteful number, since it uses less digits than its factorization.

1005665104971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97591 (or 97588 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1005665104971 in words is "one trillion, five billion, six hundred sixty-five million, one hundred four thousand, nine hundred seventy-one".