1300353000 has 128 divisors (see below), whose sum is σ = 4090245120. Its totient is φ = 343929600.

The previous prime is 1300352993. The next prime is 1300353059. The reversal of 1300353000 is 3530031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379294 + ... + 382706.

It is an arithmetic number, because the mean of its divisors is an integer number (31955040).

Almost surely, 2^1300353000 is an apocalyptic number.

1300353000 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 1300353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045122560).

1300353000 is an abundant number, since it is smaller than the sum of its proper divisors (2789892120).

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

1300353000 is a wasteful number, since it uses less digits than its factorization.

1300353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 1300353000 is about 36060.4076516059. The cubic root of 1300353000 is about 1091.4916591693.

Adding to 1300353000 its reverse (3530031), we get a palindrome (1303883031).

The spelling of 1300353000 in words is "one billion, three hundred million, three hundred fifty-three thousand".