1303053040 has 80 divisors (see below), whose sum is σ = 3173421888. Its totient is φ = 496652288.

The previous prime is 1303053023. The next prime is 1303053049. The reversal of 1303053040 is 403503031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1303052999 and 1303053017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303053049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537912 + ... + 540328.

Almost surely, 2^1303053040 is an apocalyptic number.

1303053040 is a gapful number since it is divisible by the number (10) 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 1303053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586710944).

1303053040 is an abundant number, since it is smaller than the sum of its proper divisors (1870368848).

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

1303053040 is a wasteful number, since it uses less digits than its factorization.

1303053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 1303053040 is about 36097.8259733187. The cubic root of 1303053040 is about 1092.2465910308.

Adding to 1303053040 its reverse (403503031), we get a palindrome (1706556071).

The spelling of 1303053040 in words is "one billion, three hundred three million, fifty-three thousand, forty".