10300509 has 12 divisors (see below), whose sum is σ = 14917500. Its totient is φ = 6849024.

The previous prime is 10300501. The next prime is 10300523. The reversal of 10300509 is 90500301.

10300509 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8139609 + 2160900 = 2853^2 + 1470^2 .

It is not a de Polignac number, because 10300509 - 2³ = 10300501 is a prime.

It is a super-2 number, since 2×10300509² = 212200971318162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10300491 and 10300500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300501) 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 11 ways as a sum of consecutive naturals, for example, 2767 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (1243125).

Almost surely, 2^10300509 is an apocalyptic number.

It is an amenable number.

10300509 is a deficient number, since it is larger than the sum of its proper divisors (4616991).

10300509 is a wasteful number, since it uses less digits than its factorization.

10300509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10300509 is about 3209.4406054638. The cubic root of 10300509 is about 217.5802953633.

The spelling of 10300509 in words is "ten million, three hundred thousand, five hundred nine".