1303953312 has 96 divisors (see below), whose sum is σ = 3632428800. Its totient is φ = 408158208.

The previous prime is 1303953281. The next prime is 1303953319. The reversal of 1303953312 is 2133593031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1303953312.

It is not an unprimeable number, because it can be changed into a prime (1303953319) 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 15 ways as a sum of consecutive naturals, for example, 1254489 + ... + 1255527.

It is an arithmetic number, because the mean of its divisors is an integer number (37837800).

Almost surely, 2^1303953312 is an apocalyptic number.

1303953312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303953312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

1303953312 is an abundant number, since it is smaller than the sum of its proper divisors (2328475488).

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

1303953312 is a wasteful number, since it uses less digits than its factorization.

1303953312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 1303953312 is about 36110.2937124582. The cubic root of 1303953312 is about 1092.4980754609.

The spelling of 1303953312 in words is "one billion, three hundred three million, nine hundred fifty-three thousand, three hundred twelve".