1305503040 has 112 divisors (see below), whose sum is σ = 4207044672. Its totient is φ = 342921216.

The previous prime is 1305502993. The next prime is 1305503081. The reversal of 1305503040 is 403055031.

It is a junction number, because it is equal to n+sod(n) for n = 1305502998 and 1305503016.

It is a congruent number.

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, 54172 + ... + 74468.

Almost surely, 2^1305503040 is an apocalyptic number.

1305503040 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 1305503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103522336).

1305503040 is an abundant number, since it is smaller than the sum of its proper divisors (2901541632).

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

1305503040 is a wasteful number, since it uses less digits than its factorization.

1305503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20384 (or 20374 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1305503040 is about 36131.7455985730. The cubic root of 1305503040 is about 1092.9307097056.

Adding to 1305503040 its reverse (403055031), we get a palindrome (1708558071).

The spelling of 1305503040 in words is "one billion, three hundred five million, five hundred three thousand, forty".