1300500 has 108 divisors (see below), whose sum is σ = 4358172. Its totient is φ = 326400.

The previous prime is 1300487. The next prime is 1300501. The reversal of 1300500 is 50031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 121104 + 1179396 = 348^2 + 1086^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76492 + ... + 76508.

2^1300500 is an apocalyptic number.

1300500 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 1300500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179086).

1300500 is an abundant number, since it is smaller than the sum of its proper divisors (3057672).

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

1300500 is a wasteful number, since it uses less digits than its factorization.

1300500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1300500 is about 1140.3946685249. The cubic root of 1300500 is about 109.1532787291.

Adding to 1300500 its reverse (50031), we get a palindrome (1350531).

The spelling of 1300500 in words is "one million, three hundred thousand, five hundred".