1306125540 has 96 divisors (see below), whose sum is σ = 4068798720. Its totient is φ = 347846400.

The previous prime is 1306125497. The next prime is 1306125553. The reversal of 1306125540 is 455216031.

1306125540 is a `hidden beast` number, since 1 + 3 + 0 + 612 + 5 + 5 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 712425 + ... + 714255.

It is an arithmetic number, because the mean of its divisors is an integer number (42383320).

Almost surely, 2^1306125540 is an apocalyptic number.

1306125540 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 1306125540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034399360).

1306125540 is an abundant number, since it is smaller than the sum of its proper divisors (2762673180).

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

1306125540 is a wasteful number, since it uses less digits than its factorization.

1306125540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1306125540 is about 36140.3588803432. The cubic root of 1306125540 is about 1093.1043953114.

The spelling of 1306125540 in words is "one billion, three hundred six million, one hundred twenty-five thousand, five hundred forty".