1300722002064 has 135 divisors (see below), whose sum is σ = 3680524916107. Its totient is φ = 428824992000.

The previous prime is 1300722002059. The next prime is 1300722002089. The reversal of 1300722002064 is 4602002270031.

The square root of 1300722002064 is 1140492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 549241067664 + 751480934400 = 741108^2 + 866880^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 1382275834 + ... + 1382276774.

Almost surely, 2^{1300722002064} is an apocalyptic number.

1300722002064 is the 1140492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300722002064

1300722002064 is an abundant number, since it is smaller than the sum of its proper divisors (2379802914043).

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

1300722002064 is an frugal number, since it uses more digits than its factorization.

1300722002064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 1300722002064 its reverse (4602002270031), we get a palindrome (5902724272095).

The spelling of 1300722002064 in words is "one trillion, three hundred billion, seven hundred twenty-two million, two thousand, sixty-four".