1306112524560 has 60 divisors (see below), whose sum is σ = 4386361230732. Its totient is φ = 348296673024.

The previous prime is 1306112524529. The next prime is 1306112524597. The reversal of 1306112524560 is 654252116031.

1306112524560 is a `hidden beast` number, since 1 + 3 + 0 + 61 + 12 + 5 + 24 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 601902878976 + 704209645584 = 775824^2 + 839172^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907021867 + ... + 907023306.

Almost surely, 2^{1306112524560} is an apocalyptic number.

1306112524560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306112524560 is an abundant number, since it is smaller than the sum of its proper divisors (3080248706172).

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

1306112524560 is a wasteful number, since it uses less digits than its factorization.

1306112524560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814045192 (or 1814045183 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1306112524560 in words is "one trillion, three hundred six billion, one hundred twelve million, five hundred twenty-four thousand, five hundred sixty".