1306820528 has 80 divisors (see below), whose sum is σ = 2804820480. Its totient is φ = 586130688.

The previous prime is 1306820497. The next prime is 1306820539. The reversal of 1306820528 is 8250286031.

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, 1100351 + ... + 1101537.

It is an arithmetic number, because the mean of its divisors is an integer number (35060256).

Almost surely, 2^1306820528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306820528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402410240).

1306820528 is an abundant number, since it is smaller than the sum of its proper divisors (1497999952).

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

1306820528 is a wasteful number, since it uses less digits than its factorization.

1306820528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 1306820528 is about 36149.9727247477. The cubic root of 1306820528 is about 1093.2982408262.

The spelling of 1306820528 in words is "one billion, three hundred six million, eight hundred twenty thousand, five hundred twenty-eight".