13825139381250 has 48 divisors (see below), whose sum is σ = 34560636477696. Its totient is φ = 3686703830000.

The previous prime is 13825139381243. The next prime is 13825139381281. The reversal of 13825139381250 is 5218393152831.

It is a super-2 number, since 2×13825139381250² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13825139381193 and 13825139381202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 368651634 + ... + 368689133.

It is an arithmetic number, because the mean of its divisors is an integer number (720013259952).

Almost surely, 2^{13825139381250} is an apocalyptic number.

13825139381250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13825139381250 is an abundant number, since it is smaller than the sum of its proper divisors (20735497096446).

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

13825139381250 is an frugal number, since it uses more digits than its factorization.

13825139381250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737340797 (or 737340777 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 13825139381250 in words is "thirteen trillion, eight hundred twenty-five billion, one hundred thirty-nine million, three hundred eighty-one thousand, two hundred fifty".