13751251262500 has 72 divisors (see below), whose sum is σ = 30154713427944. Its totient is φ = 5486643360000.

The previous prime is 13751251262491. The next prime is 13751251262503. The reversal of 13751251262500 is 526215215731.

It can be written as a sum of positive squares in 12 ways, for example, as 12515859026176 + 1235392236324 = 3537776^2 + 1111482^2 .

It is a super-2 number, since 2×13751251262500² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13751251262503) 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 23 ways as a sum of consecutive naturals, for example, 3576984 + ... + 6348016.

It is an arithmetic number, because the mean of its divisors is an integer number (418815464277).

Almost surely, 2^{13751251262500} is an apocalyptic number.

13751251262500 is a gapful number since it is divisible by the number (10) 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 13751251262500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077356713972).

13751251262500 is an abundant number, since it is smaller than the sum of its proper divisors (16403462165444).

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

13751251262500 is an equidigital number, since it uses as much as digits as its factorization.

13751251262500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771459 (or 2771437 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 13751251262500 in words is "thirteen trillion, seven hundred fifty-one billion, two hundred fifty-one million, two hundred sixty-two thousand, five hundred".