1300513451520 has 160 divisors (see below), whose sum is σ = 4158582405120. Its totient is φ = 346719887360.

The previous prime is 1300513451509. The next prime is 1300513451527. The reversal of 1300513451520 is 251543150031.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300513451527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35916625 + ... + 35952815.

It is an arithmetic number, because the mean of its divisors is an integer number (25991140032).

Almost surely, 2^{1300513451520} is an apocalyptic number.

1300513451520 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 1300513451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079291202560).

1300513451520 is an abundant number, since it is smaller than the sum of its proper divisors (2858068953600).

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

1300513451520 is an equidigital number, since it uses as much as digits as its factorization.

1300513451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40896 (or 40880 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 1300513451520 in words is "one trillion, three hundred billion, five hundred thirteen million, four hundred fifty-one thousand, five hundred twenty".