13286416725 has 72 divisors (see below), whose sum is σ = 25235650440. Its totient is φ = 6659112960.

The previous prime is 13286416721. The next prime is 13286416751. The reversal of 13286416725 is 52761468231.

13286416725 is a `hidden beast` number, since 132 + 86 + 416 + 7 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6874731396 + 6411685329 = 82914^2 + 80073^2 .

It is not a de Polignac number, because 13286416725 - 2² = 13286416721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13286416721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2939167 + ... + 2943683.

It is an arithmetic number, because the mean of its divisors is an integer number (350495145).

Almost surely, 2^13286416725 is an apocalyptic number.

13286416725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13286416725 is a deficient number, since it is larger than the sum of its proper divisors (11949233715).

13286416725 is a wasteful number, since it uses less digits than its factorization.

13286416725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5311 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 13286416725 in words is "thirteen billion, two hundred eighty-six million, four hundred sixteen thousand, seven hundred twenty-five".