1303317540 has 480 divisors, whose sum is σ = 5151928320. Its totient is φ = 268925184.

The previous prime is 1303317539. The next prime is 1303317551. The reversal of 1303317540 is 457133031.

1303317540 is a `hidden beast` number, since 1 + 303 + 317 + 5 + 40 = 666.

It is a super-2 number, since 2×1303317540² = 3397273220143303200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4955449 + ... + 4955711.

It is an arithmetic number, because the mean of its divisors is an integer number (10733184).

Almost surely, 2^1303317540 is an apocalyptic number.

1303317540 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 1303317540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575964160).

1303317540 is an abundant number, since it is smaller than the sum of its proper divisors (3848610780).

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

1303317540 is a wasteful number, since it uses less digits than its factorization.

1303317540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1303317540 is about 36101.4894429579. The cubic root of 1303317540 is about 1092.3204891939.

The spelling of 1303317540 in words is "one billion, three hundred three million, three hundred seventeen thousand, five hundred forty".