13256382825 has 108 divisors (see below), whose sum is σ = 29245298940. Its totient is φ = 5703505920.

The previous prime is 13256382817. The next prime is 13256382857. The reversal of 13256382825 is 52828365231.

13256382825 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 638 + 2 + 8 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 70913241 + 13185469584 = 8421^2 + 114828^2 .

It is not a de Polignac number, because 13256382825 - 2³ = 13256382817 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 152061 + ... + 222789.

It is an arithmetic number, because the mean of its divisors is an integer number (270789805).

Almost surely, 2^13256382825 is an apocalyptic number.

13256382825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13256382825 is an abundant number, since it is smaller than the sum of its proper divisors (15988916115).

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

13256382825 is a wasteful number, since it uses less digits than its factorization.

13256382825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70776 (or 70761 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 13256382825 in words is "thirteen billion, two hundred fifty-six million, three hundred eighty-two thousand, eight hundred twenty-five".