10540509 has 32 divisors (see below), whose sum is σ = 16988160. Its totient is φ = 5683392.

The previous prime is 10540499. The next prime is 10540511. The reversal of 10540509 is 90504501.

It is not a de Polignac number, because 10540509 - 2⁷ = 10540381 is a prime.

It is a super-2 number, since 2×10540509² = 222204659958162, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67059 + ... + 67215.

It is an arithmetic number, because the mean of its divisors is an integer number (530880).

Almost surely, 2^10540509 is an apocalyptic number.

It is an amenable number.

10540509 is a deficient number, since it is larger than the sum of its proper divisors (6447651).

10540509 is a wasteful number, since it uses less digits than its factorization.

10540509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 10540509 is about 3246.6150064336. The cubic root of 10540509 is about 219.2571987077.

The spelling of 10540509 in words is "ten million, five hundred forty thousand, five hundred nine".