1351045080 has 768 divisors, whose sum is σ = 6016757760. Its totient is φ = 254361600.

The previous prime is 1351045049. The next prime is 1351045147. The reversal of 1351045080 is 805401531.

1351045080 is a `hidden beast` number, since 135 + 1 + 0 + 450 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22148250 + ... + 22148310.

It is an arithmetic number, because the mean of its divisors is an integer number (7834320).

Almost surely, 2^1351045080 is an apocalyptic number.

1351045080 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 1351045080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008378880).

1351045080 is an abundant number, since it is smaller than the sum of its proper divisors (4665712680).

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

1351045080 is a wasteful number, since it uses less digits than its factorization.

1351045080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1351045080 is about 36756.5651278789. The cubic root of 1351045080 is about 1105.4945691897.

The spelling of 1351045080 in words is "one billion, three hundred fifty-one million, forty-five thousand, eighty".