1305040520 has 96 divisors (see below), whose sum is σ = 3438310680. Its totient is φ = 444487680.

The previous prime is 1305040519. The next prime is 1305040549. The reversal of 1305040520 is 250405031.

It can be written as a sum of positive squares in 4 ways, for example, as 1231869604 + 73170916 = 35098^2 + 8554^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1305040492 and 1305040501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305600 + ... + 309840.

Almost surely, 2^1305040520 is an apocalyptic number.

1305040520 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 1305040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719155340).

1305040520 is an abundant number, since it is smaller than the sum of its proper divisors (2133270160).

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

1305040520 is a wasteful number, since it uses less digits than its factorization.

1305040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1305040520 is about 36125.3445658308. The cubic root of 1305040520 is about 1092.8016248483.

Adding to 1305040520 its reverse (250405031), we get a palindrome (1555445551).

The spelling of 1305040520 in words is "one billion, three hundred five million, forty thousand, five hundred twenty".