1381180305 has 32 divisors (see below), whose sum is σ = 2285568000. Its totient is φ = 711801792.

The previous prime is 1381180259. The next prime is 1381180309. The reversal of 1381180305 is 5030811831.

It is not a de Polignac number, because 1381180305 - 2¹¹ = 1381178257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1381180309) 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, 43296 + ... + 68094.

It is an arithmetic number, because the mean of its divisors is an integer number (71424000).

Almost surely, 2^1381180305 is an apocalyptic number.

1381180305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1381180305 is a deficient number, since it is larger than the sum of its proper divisors (904387695).

1381180305 is a wasteful number, since it uses less digits than its factorization.

1381180305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24933.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1381180305 is about 37164.2342178606. The cubic root of 1381180305 is about 1113.6536008247.

The spelling of 1381180305 in words is "one billion, three hundred eighty-one million, one hundred eighty thousand, three hundred five".