13249263825 has 96 divisors (see below), whose sum is σ = 29280665600. Its totient is φ = 5737988160.

The previous prime is 13249263823. The next prime is 13249263847. The reversal of 13249263825 is 52836294231.

13249263825 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 9 + 2 + 638 + 2 + 5 = 666.

It is not a de Polignac number, because 13249263825 - 2¹ = 13249263823 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13249263821) 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 95 ways as a sum of consecutive naturals, for example, 15984 + ... + 163566.

Almost surely, 2^13249263825 is an apocalyptic number.

13249263825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13249263825 is an abundant number, since it is smaller than the sum of its proper divisors (16031401775).

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

13249263825 is a wasteful number, since it uses less digits than its factorization.

13249263825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147628 (or 147617 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 13249263825 in words is "thirteen billion, two hundred forty-nine million, two hundred sixty-three thousand, eight hundred twenty-five".