1307288520 has 96 divisors (see below), whose sum is σ = 4254793920. Its totient is φ = 348109440.

The previous prime is 1307288461. The next prime is 1307288527. The reversal of 1307288520 is 258827031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1307288527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295525 + ... + 299915.

It is an arithmetic number, because the mean of its divisors is an integer number (44320770).

Almost surely, 2^1307288520 is an apocalyptic number.

1307288520 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 1307288520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127396960).

1307288520 is an abundant number, since it is smaller than the sum of its proper divisors (2947505400).

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

1307288520 is a wasteful number, since it uses less digits than its factorization.

1307288520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1307288520 is about 36156.4450686181. The cubic root of 1307288520 is about 1093.4287340741.

The spelling of 1307288520 in words is "one billion, three hundred seven million, two hundred eighty-eight thousand, five hundred twenty".