1351150080 has 320 divisors, whose sum is σ = 5065175808. Its totient is φ = 300810240.

The previous prime is 1351150069. The next prime is 1351150109. The reversal of 1351150080 is 800511531.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1351150080.

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, 2203854 + ... + 2204466.

Almost surely, 2^1351150080 is an apocalyptic number.

1351150080 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 1351150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532587904).

1351150080 is an abundant number, since it is smaller than the sum of its proper divisors (3714025728).

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

1351150080 is an equidigital number, since it uses as much as digits as its factorization.

1351150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 1351150080 is about 36757.9934163986. The cubic root of 1351150080 is about 1105.5232072478.

The spelling of 1351150080 in words is "one billion, three hundred fifty-one million, one hundred fifty thousand, eighty".