1005352310034 has 40 divisors (see below), whose sum is σ = 2252830221180. Its totient is φ = 335103105024.

The previous prime is 1005352310003. The next prime is 1005352310041. The reversal of 1005352310034 is 4300132535001.

1005352310034 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 523 + 100 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 995000265009 + 10352045025 = 997497^2 + 101745^2 .

It is a super-3 number, since 3×1005352310034³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 in 19 ways as a sum of consecutive naturals, for example, 4078162 + ... + 4317650.

Almost surely, 2^{1005352310034} is an apocalyptic number.

1005352310034 is an abundant number, since it is smaller than the sum of its proper divisors (1247477911146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005352310034 is a wasteful number, since it uses less digits than its factorization.

1005352310034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265416 (or 265407 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 1005352310034 its reverse (4300132535001), we get a palindrome (5305484845035).

The spelling of 1005352310034 in words is "one trillion, five billion, three hundred fifty-two million, three hundred ten thousand, thirty-four".