380005385013 has 32 divisors (see below), whose sum is σ = 570194956800. Its totient is φ = 250087219200.

The previous prime is 380005384981. The next prime is 380005385027. The reversal of 380005385013 is 310583500083.

It is not a de Polignac number, because 380005385013 - 2⁵ = 380005384981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380005384013) 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 31 ways as a sum of consecutive naturals, for example, 16713493 + ... + 16736213.

It is an arithmetic number, because the mean of its divisors is an integer number (17818592400).

Almost surely, 2^380005385013 is an apocalyptic number.

It is an amenable number.

380005385013 is a deficient number, since it is larger than the sum of its proper divisors (190189571787).

380005385013 is a wasteful number, since it uses less digits than its factorization.

380005385013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30650 (or 30644 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 380005385013 its reverse (310583500083), we get a palindrome (690588885096).

The spelling of 380005385013 in words is "three hundred eighty billion, five million, three hundred eighty-five thousand, thirteen".