1301128605 has 72 divisors (see below), whose sum is σ = 2660770944. Its totient is φ = 586353600.

The previous prime is 1301128583. The next prime is 1301128613. The reversal of 1301128605 is 5068211031.

1301128605 is a `hidden beast` number, since 1 + 30 + 1 + 1 + 28 + 605 = 666.

It is not a de Polignac number, because 1301128605 - 2⁵ = 1301128573 is a prime.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 152400 + ... + 160710.

It is an arithmetic number, because the mean of its divisors is an integer number (36955152).

Almost surely, 2^1301128605 is an apocalyptic number.

1301128605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1301128605 is an abundant number, since it is smaller than the sum of its proper divisors (1359642339).

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

1301128605 is a wasteful number, since it uses less digits than its factorization.

1301128605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1301128605 is about 36071.1602946176. The cubic root of 1301128605 is about 1091.7086254163.

Adding to 1301128605 its reverse (5068211031), we get a palindrome (6369339636).

It can be divided in two parts, 13011 and 28605, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 1301128605 in words is "one billion, three hundred one million, one hundred twenty-eight thousand, six hundred five".