1012837533000 has 256 divisors, whose sum is σ = 3203209152000. Its totient is φ = 266416128000.

The previous prime is 1012837532999. The next prime is 1012837533013. The reversal of 1012837533000 is 3357382101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117208680 + ... + 117217320.

It is an arithmetic number, because the mean of its divisors is an integer number (12512535750).

Almost surely, 2^{1012837533000} is an apocalyptic number.

1012837533000 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 1012837533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601604576000).

1012837533000 is an abundant number, since it is smaller than the sum of its proper divisors (2190371619000).

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

1012837533000 is a wasteful number, since it uses less digits than its factorization.

1012837533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 1012837533000 in words is "one trillion, twelve billion, eight hundred thirty-seven million, five hundred thirty-three thousand".