1306524672 has 66 divisors (see below), whose sum is σ = 3772588248. Its totient is φ = 435505152.

The previous prime is 1306524629. The next prime is 1306524679. The reversal of 1306524672 is 2764256031.

1306524672 is a `hidden beast` number, since 130 + 65 + 2 + 467 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306524679) 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 5 ways as a sum of consecutive naturals, for example, 61668 + ... + 80099.

It is an arithmetic number, because the mean of its divisors is an integer number (57160428).

Almost surely, 2^1306524672 is an apocalyptic number.

1306524672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1306524672 is an abundant number, since it is smaller than the sum of its proper divisors (2466063576).

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

1306524672 is a wasteful number, since it uses less digits than its factorization.

1306524672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141793 (or 141772 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1306524672 is about 36145.8804291720. The cubic root of 1306524672 is about 1093.2157293030.

The spelling of 1306524672 in words is "one billion, three hundred six million, five hundred twenty-four thousand, six hundred seventy-two".