11385900513 has 20 divisors (see below), whose sum is σ = 18316920468. Its totient is φ = 7006707360.

The previous prime is 11385900437. The next prime is 11385900583. The reversal of 11385900513 is 31500958311.

11385900513 is a `hidden beast` number, since 1 + 13 + 8 + 590 + 0 + 51 + 3 = 666.

11385900513 is digitally balanced in base 2, 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 5515735824 + 5870164689 = 74268^2 + 76617^2 .

It is not a de Polignac number, because 11385900513 - 2¹⁰ = 11385899489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11385900583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5405358 + ... + 5407463.

Almost surely, 2^11385900513 is an apocalyptic number.

11385900513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11385900513 is a deficient number, since it is larger than the sum of its proper divisors (6931019955).

11385900513 is a wasteful number, since it uses less digits than its factorization.

11385900513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812846 (or 10812837 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 11385900513 in words is "eleven billion, three hundred eighty-five million, nine hundred thousand, five hundred thirteen".