10380586509 has 48 divisors (see below), whose sum is σ = 15844745280. Its totient is φ = 6789847680.

The previous prime is 10380586477. The next prime is 10380586523. The reversal of 10380586509 is 90568508301.

10380586509 is a `hidden beast` number, since 10 + 3 + 8 + 0 + 586 + 50 + 9 = 666.

It is not a de Polignac number, because 10380586509 - 2⁵ = 10380586477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380586109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4573827 + ... + 4576095.

It is an arithmetic number, because the mean of its divisors is an integer number (330098860).

Almost surely, 2^10380586509 is an apocalyptic number.

It is an amenable number.

10380586509 is a deficient number, since it is larger than the sum of its proper divisors (5464158771).

10380586509 is an equidigital number, since it uses as much as digits as its factorization.

10380586509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10380586509 in words is "ten billion, three hundred eighty million, five hundred eighty-six thousand, five hundred nine".