1305509540 has 24 divisors (see below), whose sum is σ = 2743069560. Its totient is φ = 521918208.

The previous prime is 1305509533. The next prime is 1305509561. The reversal of 1305509540 is 459055031.

It can be written as a sum of positive squares in 4 ways, for example, as 421398784 + 884110756 = 20528^2 + 29734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1305509497 and 1305509506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21776 + ... + 55544.

It is an arithmetic number, because the mean of its divisors is an integer number (114294565).

Almost surely, 2^1305509540 is an apocalyptic number.

1305509540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305509540 is an abundant number, since it is smaller than the sum of its proper divisors (1437560020).

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

1305509540 is a wasteful number, since it uses less digits than its factorization.

1305509540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35711 (or 35709 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 1305509540 is about 36131.8355470629. The cubic root of 1305509540 is about 1092.9325235755.

The spelling of 1305509540 in words is "one billion, three hundred five million, five hundred nine thousand, five hundred forty".