1309182072 has 64 divisors (see below), whose sum is σ = 3573711360. Its totient is φ = 396364800.

The previous prime is 1309182047. The next prime is 1309182089. The reversal of 1309182072 is 2702819031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548193 + ... + 550575.

It is an arithmetic number, because the mean of its divisors is an integer number (55839240).

Almost surely, 2^1309182072 is an apocalyptic number.

1309182072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1309182072 is an abundant number, since it is smaller than the sum of its proper divisors (2264529288).

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

1309182072 is a wasteful number, since it uses less digits than its factorization.

1309182072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1309182072 is about 36182.6211322508. The cubic root of 1309182072 is about 1093.9564077739.

It can be divided in two parts, 1309 and 182072, that added together give a palindrome (183381).

The spelling of 1309182072 in words is "one billion, three hundred nine million, one hundred eighty-two thousand, seventy-two".