1300513005 has 72 divisors (see below), whose sum is σ = 2612604384. Its totient is φ = 593395200.

The previous prime is 1300512977. The next prime is 1300513009. The reversal of 1300513005 is 5003150031.

It is a happy number.

It is not a de Polignac number, because 1300513005 - 2⁸ = 1300512749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300513009) 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 71 ways as a sum of consecutive naturals, for example, 138510 + ... + 147600.

It is an arithmetic number, because the mean of its divisors is an integer number (36286172).

Almost surely, 2^1300513005 is an apocalyptic number.

1300513005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1300513005 is an abundant number, since it is smaller than the sum of its proper divisors (1312091379).

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

1300513005 is a wasteful number, since it uses less digits than its factorization.

1300513005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 1300513005 is about 36062.6261522923. The cubic root of 1300513005 is about 1091.5364257212.

Adding to 1300513005 its reverse (5003150031), we get a palindrome (6303663036).

The spelling of 1300513005 in words is "one billion, three hundred million, five hundred thirteen thousand, five".