10133505 has 40 divisors (see below), whose sum is σ = 18399744. Its totient is φ = 5335200.

The previous prime is 10133467. The next prime is 10133521. The reversal of 10133505 is 50533101.

It is a happy number.

It is not a de Polignac number, because 10133505 - 2¹⁶ = 10067969 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52960 + ... + 53150.

It is a Proth number, since it is equal to 1237 ⋅ 2¹³ + 1 and 1237 < 2¹³.

Almost surely, 2^10133505 is an apocalyptic number.

10133505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10133505 is a deficient number, since it is larger than the sum of its proper divisors (8266239).

10133505 is a wasteful number, since it uses less digits than its factorization.

10133505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

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

The square root of 10133505 is about 3183.3166666230. The cubic root of 10133505 is about 216.3979930751.

Adding to 10133505 its reverse (50533101), we get a palindrome (60666606).

The spelling of 10133505 in words is "ten million, one hundred thirty-three thousand, five hundred five".