1305083376 has 60 divisors (see below), whose sum is σ = 3703892400. Its totient is φ = 428897280.

The previous prime is 1305083347. The next prime is 1305083383. The reversal of 1305083376 is 6733805031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1305083376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53601 + ... + 74048.

It is an arithmetic number, because the mean of its divisors is an integer number (61731540).

Almost surely, 2^1305083376 is an apocalyptic number.

1305083376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1305083376 is an abundant number, since it is smaller than the sum of its proper divisors (2398809024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305083376 is a wasteful number, since it uses less digits than its factorization.

1305083376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127734 (or 127725 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1305083376 is about 36125.9377179334. The cubic root of 1305083376 is about 1092.8135868253.

The spelling of 1305083376 in words is "one billion, three hundred five million, eighty-three thousand, three hundred seventy-six".