13083125472 has 288 divisors, whose sum is σ = 40554888192. Its totient is φ = 3985293312.

The previous prime is 13083125467. The next prime is 13083125477. The reversal of 13083125472 is 27452138031.

13083125472 is a `hidden beast` number, since 1 + 30 + 83 + 1 + 2 + 547 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13083125467) and next prime (13083125477).

It is a tau number, because it is divible by the number of its divisors (288).

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 (13083125477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32954778 + ... + 32955174.

It is an arithmetic number, because the mean of its divisors is an integer number (140815584).

Almost surely, 2^13083125472 is an apocalyptic number.

13083125472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13083125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20277444096).

13083125472 is an abundant number, since it is smaller than the sum of its proper divisors (27471762720).

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

13083125472 is a wasteful number, since it uses less digits than its factorization.

13083125472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13083125472 in words is "thirteen billion, eighty-three million, one hundred twenty-five thousand, four hundred seventy-two".