33051001000000 has 147 divisors (see below), whose sum is σ = 81995188280187. Its totient is φ = 13218100800000.

The previous prime is 33051000999959. The next prime is 33051001000067. The reversal of 33051001000000 is 10015033.

The square root of 33051001000000 is 5749000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 7330361311296 + 25720639688704 = 2707464^2 + 5071552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5748997126 + ... + 5749002874.

Almost surely, 2^{33051001000000} is an apocalyptic number.

33051001000000 is the 5749000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33051001000000

33051001000000 is an abundant number, since it is smaller than the sum of its proper divisors (48944187280187).

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

33051001000000 is an frugal number, since it uses more digits than its factorization.

33051001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

Adding to 33051001000000 its reverse (10015033), we get a palindrome (33051011015033).

The spelling of 33051001000000 in words is "thirty-three trillion, fifty-one billion, one million", and thus it is an aban number and an uban number.