33125105000 has 160 divisors (see below), whose sum is σ = 86469352200. Its totient is φ = 11808384000.

The previous prime is 33125104981. The next prime is 33125105017. The reversal of 33125105000 is 50152133.

It can be written as a sum of positive squares in 20 ways, for example, as 15643505476 + 17481599524 = 125074^2 + 132218^2 .

It is a super-2 number, since 2×33125105000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1876214 + ... + 1893786.

Almost surely, 2^33125105000 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 33125105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43234676100).

33125105000 is an abundant number, since it is smaller than the sum of its proper divisors (53344247200).

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

33125105000 is a wasteful number, since it uses less digits than its factorization.

33125105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17641 (or 17622 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 33125105000 its reverse (50152133), we get a palindrome (33175257133).

The spelling of 33125105000 in words is "thirty-three billion, one hundred twenty-five million, one hundred five thousand".