1019161152 has 336 divisors, whose sum is σ = 3320094960. Its totient is φ = 297271296.

The previous prime is 1019161147. The next prime is 1019161163. The reversal of 1019161152 is 2511619101.

1019161152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 127780416 + 891380736 = 11304^2 + 29856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10506768 + ... + 10506864.

It is an arithmetic number, because the mean of its divisors is an integer number (9881235).

Almost surely, 2^1019161152 is an apocalyptic number.

1019161152 is a gapful number since it is divisible by the number (12) 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 1019161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660047480).

1019161152 is an abundant number, since it is smaller than the sum of its proper divisors (2300933808).

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

1019161152 is a wasteful number, since it uses less digits than its factorization.

1019161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The square root of 1019161152 is about 31924.3034693006. The cubic root of 1019161152 is about 1006.3466850400.

The spelling of 1019161152 in words is "one billion, nineteen million, one hundred sixty-one thousand, one hundred fifty-two".