1305153000 has 384 divisors, whose sum is σ = 4722157440. Its totient is φ = 336960000.

The previous prime is 1305152999. The next prime is 1305153023. The reversal of 1305153000 is 3515031.

It is a happy number.

1305153000 is a `hidden beast` number, since 130 + 5 + 1 + 530 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9962935 + ... + 9963065.

It is an arithmetic number, because the mean of its divisors is an integer number (12297285).

Almost surely, 2^1305153000 is an apocalyptic number.

1305153000 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 1305153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361078720).

1305153000 is an abundant number, since it is smaller than the sum of its proper divisors (3417004440).

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

1305153000 is a wasteful number, since it uses less digits than its factorization.

1305153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

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

The square root of 1305153000 is about 36126.9013340475. The cubic root of 1305153000 is about 1092.8330197345.

Adding to 1305153000 its reverse (3515031), we get a palindrome (1308668031).

The spelling of 1305153000 in words is "one billion, three hundred five million, one hundred fifty-three thousand".