1300253500 has 288 divisors, whose sum is σ = 3793136256. Its totient is φ = 377856000.

The previous prime is 1300253473. The next prime is 1300253509. The reversal of 1300253500 is 53520031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300253509) 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 95 ways as a sum of consecutive naturals, for example, 31713480 + ... + 31713520.

It is an arithmetic number, because the mean of its divisors is an integer number (13170612).

Almost surely, 2^1300253500 is an apocalyptic number.

1300253500 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 1300253500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896568128).

1300253500 is an abundant number, since it is smaller than the sum of its proper divisors (2492882756).

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

1300253500 is a wasteful number, since it uses less digits than its factorization.

1300253500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 1300253500 is about 36059.0279957738. The cubic root of 1300253500 is about 1091.4638189879.

Adding to 1300253500 its reverse (53520031), we get a palindrome (1353773531).

The spelling of 1300253500 in words is "one billion, three hundred million, two hundred fifty-three thousand, five hundred".