1300513252016 has 60 divisors (see below), whose sum is σ = 2773357936440. Its totient is φ = 585910026240.

The previous prime is 1300513252013. The next prime is 1300513252039. The reversal of 1300513252016 is 6102523150031.

It is a self number, because there is not a number n which added to its sum of digits gives 1300513252016.

It is not an unprimeable number, because it can be changed into a prime (1300513252013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1958000 + ... + 2536688.

It is an arithmetic number, because the mean of its divisors is an integer number (46222632274).

Almost surely, 2^{1300513252016} is an apocalyptic number.

1300513252016 is a gapful number since it is divisible by the number (16) 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 1300513252016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386678968220).

1300513252016 is an abundant number, since it is smaller than the sum of its proper divisors (1472844684424).

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

1300513252016 is a wasteful number, since it uses less digits than its factorization.

1300513252016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578934 (or 578815 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 1300513252016 in words is "one trillion, three hundred billion, five hundred thirteen million, two hundred fifty-two thousand, sixteen".