1305144312 has 64 divisors (see below), whose sum is σ = 3329114880. Its totient is φ = 426304512.

The previous prime is 1305144307. The next prime is 1305144317. The reversal of 1305144312 is 2134415031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1305144307) and next prime (1305144317).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305144317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 237063 + ... + 242505.

It is an arithmetic number, because the mean of its divisors is an integer number (52017420).

Almost surely, 2^1305144312 is an apocalyptic number.

1305144312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305144312 is an abundant number, since it is smaller than the sum of its proper divisors (2023970568).

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

1305144312 is a wasteful number, since it uses less digits than its factorization.

1305144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1305144312 is about 36126.7810910410. The cubic root of 1305144312 is about 1092.8305948452.

Adding to 1305144312 its reverse (2134415031), we get a palindrome (3439559343).

The spelling of 1305144312 in words is "one billion, three hundred five million, one hundred forty-four thousand, three hundred twelve".