1300625664 has 288 divisors, whose sum is σ = 4038289920. Its totient is φ = 368050176.

The previous prime is 1300625663. The next prime is 1300625693. The reversal of 1300625664 is 4665260031.

It is not an unprimeable number, because it can be changed into a prime (1300625663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13408464 + ... + 13408560.

It is an arithmetic number, because the mean of its divisors is an integer number (14021840).

Almost surely, 2^1300625664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019144960).

1300625664 is an abundant number, since it is smaller than the sum of its proper divisors (2737664256).

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

1300625664 is a wasteful number, since it uses less digits than its factorization.

1300625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1300625664 is about 36064.1881095360. The cubic root of 1300625664 is about 1091.5679435020.

Adding to 1300625664 its reverse (4665260031), we get a palindrome (5965885695).

The spelling of 1300625664 in words is "one billion, three hundred million, six hundred twenty-five thousand, six hundred sixty-four".