10005345033 has 32 divisors (see below), whose sum is σ = 14253465600. Its totient is φ = 6224501376.

The previous prime is 10005345029. The next prime is 10005345041. The reversal of 10005345033 is 33054350001.

It is a happy number.

It is not a de Polignac number, because 10005345033 - 2² = 10005345029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10005344994 and 10005345012.

It is not an unprimeable number, because it can be changed into a prime (10005345073) 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, 5687208 + ... + 5688966.

It is an arithmetic number, because the mean of its divisors is an integer number (445420800).

Almost surely, 2^10005345033 is an apocalyptic number.

It is an amenable number.

10005345033 is a deficient number, since it is larger than the sum of its proper divisors (4248120567).

10005345033 is a wasteful number, since it uses less digits than its factorization.

10005345033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221.

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 10005345033 its reverse (33054350001), we get a palindrome (43059695034).

The spelling of 10005345033 in words is "ten billion, five million, three hundred forty-five thousand, thirty-three".