13251490192512 has 960 divisors, whose sum is σ = 46796270801280. Its totient is φ = 3697618636800.

The previous prime is 13251490192511. The next prime is 13251490192529. The reversal of 13251490192512 is 21529109415231.

13251490192512 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 1 + 49 + 0 + 1 + 92 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (13251490192511) 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 119 ways as a sum of consecutive naturals, for example, 9312360633 + ... + 9312362055.

It is an arithmetic number, because the mean of its divisors is an integer number (48746115418).

Almost surely, 2^{13251490192512} is an apocalyptic number.

13251490192512 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 13251490192512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398135400640).

13251490192512 is an abundant number, since it is smaller than the sum of its proper divisors (33544780608768).

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

13251490192512 is a wasteful number, since it uses less digits than its factorization.

13251490192512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 13251490192512 in words is "thirteen trillion, two hundred fifty-one billion, four hundred ninety million, one hundred ninety-two thousand, five hundred twelve".