1300251000 has 128 divisors (see below), whose sum is σ = 4083206400. Its totient is φ = 344476800.

The previous prime is 1300250981. The next prime is 1300251013. The reversal of 1300251000 is 1520031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487671 + ... + 490329.

It is an arithmetic number, because the mean of its divisors is an integer number (31900050).

Almost surely, 2^1300251000 is an apocalyptic number.

1300251000 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 1300251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041603200).

1300251000 is an abundant number, since it is smaller than the sum of its proper divisors (2782955400).

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

1300251000 is a wasteful number, since it uses less digits than its factorization.

1300251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1300251000 is about 36058.9933303746. The cubic root of 1300251000 is about 1091.4631194675.

Adding to 1300251000 its reverse (1520031), we get a palindrome (1301771031).

The spelling of 1300251000 in words is "one billion, three hundred million, two hundred fifty-one thousand".