1305311381 has 24 divisors (see below), whose sum is σ = 1511612928. Its totient is φ = 1117656000.

The previous prime is 1305311377. The next prime is 1305311393. The reversal of 1305311381 is 1831135031.

It is not a de Polignac number, because 1305311381 - 2² = 1305311377 is a prime.

It is a super-2 number, since 2×1305311381² = 3407675602736254322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1305311381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305311081) 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 23 ways as a sum of consecutive naturals, for example, 757601 + ... + 759321.

It is an arithmetic number, because the mean of its divisors is an integer number (62983872).

Almost surely, 2^1305311381 is an apocalyptic number.

1305311381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1305311381 is a deficient number, since it is larger than the sum of its proper divisors (206301547).

1305311381 is a wasteful number, since it uses less digits than its factorization.

1305311381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1305311381 is about 36129.0932767486. The cubic root of 1305311381 is about 1092.8772232329.

The spelling of 1305311381 in words is "one billion, three hundred five million, three hundred eleven thousand, three hundred eighty-one".