10505133 has 24 divisors (see below), whose sum is σ = 16668288. Its totient is φ = 6588864.

The previous prime is 10505129. The next prime is 10505137. The reversal of 10505133 is 33150501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10505129) and next prime (10505137).

It is not a de Polignac number, because 10505133 - 2² = 10505129 is a prime.

It is a super-2 number, since 2×10505133² = 220715638695378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2860 + ... + 5402.

It is an arithmetic number, because the mean of its divisors is an integer number (694512).

Almost surely, 2^10505133 is an apocalyptic number.

It is an amenable number.

10505133 is a deficient number, since it is larger than the sum of its proper divisors (6163155).

10505133 is an equidigital number, since it uses as much as digits as its factorization.

10505133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10505133 is about 3241.1622915244. The cubic root of 10505133 is about 219.0116338350.

Adding to 10505133 its reverse (33150501), we get a palindrome (43655634).

The spelling of 10505133 in words is "ten million, five hundred five thousand, one hundred thirty-three".