1131819052 has 192 divisors, whose sum is σ = 2709504000. Its totient is φ = 409812480.

The previous prime is 1131819001. The next prime is 1131819077. The reversal of 1131819052 is 2509181311.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12717024 + ... + 12717112.

It is an arithmetic number, because the mean of its divisors is an integer number (14112000).

Almost surely, 2^1131819052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131819052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752000).

1131819052 is an abundant number, since it is smaller than the sum of its proper divisors (1577684948).

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

1131819052 is a wasteful number, since it uses less digits than its factorization.

1131819052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 1131819052 is about 33642.5185145227. The cubic root of 1131819052 is about 1042.1390429727.

The spelling of 1131819052 in words is "one billion, one hundred thirty-one million, eight hundred nineteen thousand, fifty-two".