1330819000 has 128 divisors (see below), whose sum is σ = 3646581120. Its totient is φ = 445056000.

The previous prime is 1330818991. The next prime is 1330819013. The reversal of 1330819000 is 9180331.

It is a super-2 number, since 2×1330819000² = 3542158421522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 284682 + ... + 289318.

It is an arithmetic number, because the mean of its divisors is an integer number (28488915).

Almost surely, 2^1330819000 is an apocalyptic number.

1330819000 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 1330819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823290560).

1330819000 is an abundant number, since it is smaller than the sum of its proper divisors (2315762120).

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

1330819000 is a wasteful number, since it uses less digits than its factorization.

1330819000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1330819000 is about 36480.3919935080. The cubic root of 1330819000 is about 1099.9501354807.

Adding to 1330819000 its reverse (9180331), we get a palindrome (1339999331).

The spelling of 1330819000 in words is "one billion, three hundred thirty million, eight hundred nineteen thousand".