1005165136633 has 12 divisors (see below), whose sum is σ = 1169638286580. Its totient is φ = 861301496832.

The previous prime is 1005165136603. The next prime is 1005165136687. The reversal of 1005165136633 is 3366315615001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 795257299984 + 209907836649 = 891772^2 + 458157^2 .

It is not a de Polignac number, because 1005165136633 - 2¹⁷ = 1005165005561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005165136603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3039016 + ... + 3353497.

It is an arithmetic number, because the mean of its divisors is an integer number (97469857215).

Almost surely, 2^{1005165136633} is an apocalyptic number.

It is an amenable number.

1005165136633 is a deficient number, since it is larger than the sum of its proper divisors (164473149947).

1005165136633 is an equidigital number, since it uses as much as digits as its factorization.

1005165136633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395736 (or 6395729 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 1005165136633 in words is "one trillion, five billion, one hundred sixty-five million, one hundred thirty-six thousand, six hundred thirty-three".