10506033 has 12 divisors (see below), whose sum is σ = 15699060. Its totient is φ = 6762336.

The previous prime is 10506029. The next prime is 10506043. The reversal of 10506033 is 33060501.

10506033 is a `hidden beast` number, since 10 + 50 + 603 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7436529 + 3069504 = 2727^2 + 1752^2 .

It is not a de Polignac number, because 10506033 - 2² = 10506029 is a prime.

It is a super-2 number, since 2×10506033² = 220753458794178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10505997 and 10506015.

It is not an unprimeable number, because it can be changed into a prime (10506043) 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, 19866 + ... + 20387.

It is an arithmetic number, because the mean of its divisors is an integer number (1308255).

Almost surely, 2^10506033 is an apocalyptic number.

It is an amenable number.

10506033 is a deficient number, since it is larger than the sum of its proper divisors (5193027).

10506033 is a wasteful number, since it uses less digits than its factorization.

10506033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40288 (or 40285 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 10506033 is about 3241.3011276338. The cubic root of 10506033 is about 219.0178880741.

Adding to 10506033 its reverse (33060501), we get a palindrome (43566534).

The spelling of 10506033 in words is "ten million, five hundred six thousand, thirty-three".