1781313312 has 96 divisors (see below), whose sum is σ = 4999542912. Its totient is φ = 553365504.

The previous prime is 1781313307. The next prime is 1781313377. The reversal of 1781313312 is 2133131871.

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 1781313312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162798 + ... + 173394.

It is an arithmetic number, because the mean of its divisors is an integer number (52078572).

Almost surely, 2^1781313312 is an apocalyptic number.

1781313312 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 1781313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499771456).

1781313312 is an abundant number, since it is smaller than the sum of its proper divisors (3218229600).

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

1781313312 is a wasteful number, since it uses less digits than its factorization.

1781313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730 (or 10722 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 1781313312 is about 42205.6075895135. The cubic root of 1781313312 is about 1212.2162582877.

It can be divided in two parts, 17813 and 13312, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 1781313312 in words is "one billion, seven hundred eighty-one million, three hundred thirteen thousand, three hundred twelve".